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Finding the Fourth Proportional to 78,738.98, 108,660.42 and 42,929.24

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Solution

The fourth proportional to 78,738.98, 108,660.42 and 42,929.24 is: 59,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,738.98 : 108,660.42 = 42,929.24 : x
  2. Step 2: Convert to fraction form
    78,738.98/108,660.42 = 42,929.24/x
  3. Step 3: Cross multiply
    78,738.98x = 108,660.42 × 42,929.24
  4. Step 4: Simplify right side
    78,738.98x = 4,664,708,705.38
  5. Step 5: Solve for x
    x = 4,664,708,705.38/78,738.98
  6. Step 6: Final answer
    x = 59,242.69

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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.