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Finding the Fourth Proportional to 72,461.60, 108,643.80 and 32,998.40

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Solution

The fourth proportional to 72,461.60, 108,643.80 and 32,998.40 is: 49,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,461.60 : 108,643.80 = 32,998.40 : x
  2. Step 2: Convert to fraction form
    72,461.60/108,643.80 = 32,998.40/x
  3. Step 3: Cross multiply
    72,461.60x = 108,643.80 × 32,998.40
  4. Step 4: Simplify right side
    72,461.60x = 3,585,071,569.92
  5. Step 5: Solve for x
    x = 3,585,071,569.92/72,461.60
  6. Step 6: Final answer
    x = 49,475.47

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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.