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Finding the Fourth Proportional to 57,763.92, 86,673.40 and 31,468.08

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Solution

The fourth proportional to 57,763.92, 86,673.40 and 31,468.08 is: 47,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763.92 : 86,673.40 = 31,468.08 : x
  2. Step 2: Convert to fraction form
    57,763.92/86,673.40 = 31,468.08/x
  3. Step 3: Cross multiply
    57,763.92x = 86,673.40 × 31,468.08
  4. Step 4: Simplify right side
    57,763.92x = 2,727,445,485.07
  5. Step 5: Solve for x
    x = 2,727,445,485.07/57,763.92
  6. Step 6: Final answer
    x = 47,217.11

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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.