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Finding the Fourth Proportional to 78,101.84, 107,780.39 and 42,291.74

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Solution

The fourth proportional to 78,101.84, 107,780.39 and 42,291.74 is: 58,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101.84 : 107,780.39 = 42,291.74 : x
  2. Step 2: Convert to fraction form
    78,101.84/107,780.39 = 42,291.74/x
  3. Step 3: Cross multiply
    78,101.84x = 107,780.39 × 42,291.74
  4. Step 4: Simplify right side
    78,101.84x = 4,558,220,447.56
  5. Step 5: Solve for x
    x = 4,558,220,447.56/78,101.84
  6. Step 6: Final answer
    x = 58,362.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.