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Finding the Fourth Proportional to 78,367.37, 108,148.31 and 42,557.38

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Solution

The fourth proportional to 78,367.37, 108,148.31 and 42,557.38 is: 58,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.37 : 108,148.31 = 42,557.38 : x
  2. Step 2: Convert to fraction form
    78,367.37/108,148.31 = 42,557.38/x
  3. Step 3: Cross multiply
    78,367.37x = 108,148.31 × 42,557.38
  4. Step 4: Simplify right side
    78,367.37x = 4,602,508,792.93
  5. Step 5: Solve for x
    x = 4,602,508,792.93/78,367.37
  6. Step 6: Final answer
    x = 58,729.92

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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.