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Finding the Fourth Proportional to 46,048.60, 69,032.40 and 31,209.40

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Solution

The fourth proportional to 46,048.60, 69,032.40 and 31,209.40 is: 46,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048.60 : 69,032.40 = 31,209.40 : x
  2. Step 2: Convert to fraction form
    46,048.60/69,032.40 = 31,209.40/x
  3. Step 3: Cross multiply
    46,048.60x = 69,032.40 × 31,209.40
  4. Step 4: Simplify right side
    46,048.60x = 2,154,459,784.56
  5. Step 5: Solve for x
    x = 2,154,459,784.56/46,048.60
  6. Step 6: Final answer
    x = 46,786.65

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1.5x scale

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.