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Finding the Fourth Proportional to 57,318.72, 85,982.32 and 24,005.28

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Solution

The fourth proportional to 57,318.72, 85,982.32 and 24,005.28 is: 36,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,318.72 : 85,982.32 = 24,005.28 : x
  2. Step 2: Convert to fraction form
    57,318.72/85,982.32 = 24,005.28/x
  3. Step 3: Cross multiply
    57,318.72x = 85,982.32 × 24,005.28
  4. Step 4: Simplify right side
    57,318.72x = 2,064,029,666.65
  5. Step 5: Solve for x
    x = 2,064,029,666.65/57,318.72
  6. Step 6: Final answer
    x = 36,009.70

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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.