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Finding the Fourth Proportional to 78,082.39, 107,753.74 and 42,272.40

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Solution

The fourth proportional to 78,082.39, 107,753.74 and 42,272.40 is: 58,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.39 : 107,753.74 = 42,272.40 : x
  2. Step 2: Convert to fraction form
    78,082.39/107,753.74 = 42,272.40/x
  3. Step 3: Cross multiply
    78,082.39x = 107,753.74 × 42,272.40
  4. Step 4: Simplify right side
    78,082.39x = 4,555,009,497.17
  5. Step 5: Solve for x
    x = 4,555,009,497.17/78,082.39
  6. Step 6: Final answer
    x = 58,335.94

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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.