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Finding the Fourth Proportional to 71,254.65, 106,882.25 and 57,864.32

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Solution

The fourth proportional to 71,254.65, 106,882.25 and 57,864.32 is: 86,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254.65 : 106,882.25 = 57,864.32 : x
  2. Step 2: Convert to fraction form
    71,254.65/106,882.25 = 57,864.32/x
  3. Step 3: Cross multiply
    71,254.65x = 106,882.25 × 57,864.32
  4. Step 4: Simplify right side
    71,254.65x = 6,184,669,220.10
  5. Step 5: Solve for x
    x = 6,184,669,220.10/71,254.65
  6. Step 6: Final answer
    x = 86,796.71

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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.