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Finding the Fourth Proportional to 71,652.14, 107,314.29 and 34,238.51

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Solution

The fourth proportional to 71,652.14, 107,314.29 and 34,238.51 is: 51,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.14 : 107,314.29 = 34,238.51 : x
  2. Step 2: Convert to fraction form
    71,652.14/107,314.29 = 34,238.51/x
  3. Step 3: Cross multiply
    71,652.14x = 107,314.29 × 34,238.51
  4. Step 4: Simplify right side
    71,652.14x = 3,674,280,854.74
  5. Step 5: Solve for x
    x = 3,674,280,854.74/71,652.14
  6. Step 6: Final answer
    x = 51,279.43

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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.