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Finding the Fourth Proportional to 57,246.88, 85,894.80 and 29,564.32

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Solution

The fourth proportional to 57,246.88, 85,894.80 and 29,564.32 is: 44,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,246.88 : 85,894.80 = 29,564.32 : x
  2. Step 2: Convert to fraction form
    57,246.88/85,894.80 = 29,564.32/x
  3. Step 3: Cross multiply
    57,246.88x = 85,894.80 × 29,564.32
  4. Step 4: Simplify right side
    57,246.88x = 2,539,421,353.54
  5. Step 5: Solve for x
    x = 2,539,421,353.54/57,246.88
  6. Step 6: Final answer
    x = 44,359.12

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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.