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Finding the Fourth Proportional to 71,058.10, 106,587.16 and 36,007.78

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Solution

The fourth proportional to 71,058.10, 106,587.16 and 36,007.78 is: 54,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,058.10 : 106,587.16 = 36,007.78 : x
  2. Step 2: Convert to fraction form
    71,058.10/106,587.16 = 36,007.78/x
  3. Step 3: Cross multiply
    71,058.10x = 106,587.16 × 36,007.78
  4. Step 4: Simplify right side
    71,058.10x = 3,837,967,008.10
  5. Step 5: Solve for x
    x = 3,837,967,008.10/71,058.10
  6. Step 6: Final answer
    x = 54,011.68

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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.