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Finding the Fourth Proportional to 78,531.40, 108,374.34 and 42,722.38

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Solution

The fourth proportional to 78,531.40, 108,374.34 and 42,722.38 is: 58,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,531.40 : 108,374.34 = 42,722.38 : x
  2. Step 2: Convert to fraction form
    78,531.40/108,374.34 = 42,722.38/x
  3. Step 3: Cross multiply
    78,531.40x = 108,374.34 × 42,722.38
  4. Step 4: Simplify right side
    78,531.40x = 4,630,009,735.73
  5. Step 5: Solve for x
    x = 4,630,009,735.73/78,531.40
  6. Step 6: Final answer
    x = 58,957.43

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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.