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Finding the Fourth Proportional to 78,101.84, 107,780.61 and 42,291.90

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Solution

The fourth proportional to 78,101.84, 107,780.61 and 42,291.90 is: 58,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101.84 : 107,780.61 = 42,291.90 : x
  2. Step 2: Convert to fraction form
    78,101.84/107,780.61 = 42,291.90/x
  3. Step 3: Cross multiply
    78,101.84x = 107,780.61 × 42,291.90
  4. Step 4: Simplify right side
    78,101.84x = 4,558,246,780.06
  5. Step 5: Solve for x
    x = 4,558,246,780.06/78,101.84
  6. Step 6: Final answer
    x = 58,362.86

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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.