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Finding the Fourth Proportional to 42,864.30, 59,097.90 and 29,412.20

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Solution

The fourth proportional to 42,864.30, 59,097.90 and 29,412.20 is: 40,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864.30 : 59,097.90 = 29,412.20 : x
  2. Step 2: Convert to fraction form
    42,864.30/59,097.90 = 29,412.20/x
  3. Step 3: Cross multiply
    42,864.30x = 59,097.90 × 29,412.20
  4. Step 4: Simplify right side
    42,864.30x = 1,738,199,254.38
  5. Step 5: Solve for x
    x = 1,738,199,254.38/42,864.30
  6. Step 6: Final answer
    x = 40,551.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.