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Finding the Fourth Proportional to 57,306.88, 85,984.96 and 29,624.32

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Solution

The fourth proportional to 57,306.88, 85,984.96 and 29,624.32 is: 44,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,306.88 : 85,984.96 = 29,624.32 : x
  2. Step 2: Convert to fraction form
    57,306.88/85,984.96 = 29,624.32/x
  3. Step 3: Cross multiply
    57,306.88x = 85,984.96 × 29,624.32
  4. Step 4: Simplify right side
    57,306.88x = 2,547,245,970.23
  5. Step 5: Solve for x
    x = 2,547,245,970.23/57,306.88
  6. Step 6: Final answer
    x = 44,449.22

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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.