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Finding the Fourth Proportional to 71,546.28, 106,837.47 and 58,424.28

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Solution

The fourth proportional to 71,546.28, 106,837.47 and 58,424.28 is: 87,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.28 : 106,837.47 = 58,424.28 : x
  2. Step 2: Convert to fraction form
    71,546.28/106,837.47 = 58,424.28/x
  3. Step 3: Cross multiply
    71,546.28x = 106,837.47 × 58,424.28
  4. Step 4: Simplify right side
    71,546.28x = 6,241,902,261.77
  5. Step 5: Solve for x
    x = 6,241,902,261.77/71,546.28
  6. Step 6: Final answer
    x = 87,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.