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Finding the Fourth Proportional to 78,708.84, 108,614.52 and 42,897.64

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Solution

The fourth proportional to 78,708.84, 108,614.52 and 42,897.64 is: 59,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,708.84 : 108,614.52 = 42,897.64 : x
  2. Step 2: Convert to fraction form
    78,708.84/108,614.52 = 42,897.64/x
  3. Step 3: Cross multiply
    78,708.84x = 108,614.52 × 42,897.64
  4. Step 4: Simplify right side
    78,708.84x = 4,659,306,577.73
  5. Step 5: Solve for x
    x = 4,659,306,577.73/78,708.84
  6. Step 6: Final answer
    x = 59,196.74

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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.