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Finding the Fourth Proportional to 32,867,797.20, 49,301,695.80 and 31,104,200.40

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Solution

The fourth proportional to 32,867,797.20, 49,301,695.80 and 31,104,200.40 is: 46,656,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867,797.20 : 49,301,695.80 = 31,104,200.40 : x
  2. Step 2: Convert to fraction form
    32,867,797.20/49,301,695.80 = 31,104,200.40/x
  3. Step 3: Cross multiply
    32,867,797.20x = 49,301,695.80 × 31,104,200.40
  4. Step 4: Simplify right side
    32,867,797.20x = 1,533,489,826,223,038.25
  5. Step 5: Solve for x
    x = 1,533,489,826,223,038.25/32,867,797.20
  6. Step 6: Final answer
    x = 46,656,300.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.