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Finding the Fourth Proportional to 51,720.27, 71,376.17 and 29,058.81

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Solution

The fourth proportional to 51,720.27, 71,376.17 and 29,058.81 is: 40,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,720.27 : 71,376.17 = 29,058.81 : x
  2. Step 2: Convert to fraction form
    51,720.27/71,376.17 = 29,058.81/x
  3. Step 3: Cross multiply
    51,720.27x = 71,376.17 × 29,058.81
  4. Step 4: Simplify right side
    51,720.27x = 2,074,106,417.26
  5. Step 5: Solve for x
    x = 2,074,106,417.26/51,720.27
  6. Step 6: Final answer
    x = 40,102.39

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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.