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Finding the Fourth Proportional to 78,349.14, 108,122.38 and 42,539.18

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Solution

The fourth proportional to 78,349.14, 108,122.38 and 42,539.18 is: 58,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.14 : 108,122.38 = 42,539.18 : x
  2. Step 2: Convert to fraction form
    78,349.14/108,122.38 = 42,539.18/x
  3. Step 3: Cross multiply
    78,349.14x = 108,122.38 × 42,539.18
  4. Step 4: Simplify right side
    78,349.14x = 4,599,436,737.89
  5. Step 5: Solve for x
    x = 4,599,436,737.89/78,349.14
  6. Step 6: Final answer
    x = 58,704.37

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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.