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Finding the Fourth Proportional to 78,677.28, 108,575.88 and 42,867.27

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Solution

The fourth proportional to 78,677.28, 108,575.88 and 42,867.27 is: 59,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,677.28 : 108,575.88 = 42,867.27 : x
  2. Step 2: Convert to fraction form
    78,677.28/108,575.88 = 42,867.27/x
  3. Step 3: Cross multiply
    78,677.28x = 108,575.88 × 42,867.27
  4. Step 4: Simplify right side
    78,677.28x = 4,654,351,563.45
  5. Step 5: Solve for x
    x = 4,654,351,563.45/78,677.28
  6. Step 6: Final answer
    x = 59,157.50

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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.