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Finding the Fourth Proportional to 78,073.14, 107,741.68 and 42,263.84

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Solution

The fourth proportional to 78,073.14, 107,741.68 and 42,263.84 is: 58,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.14 : 107,741.68 = 42,263.84 : x
  2. Step 2: Convert to fraction form
    78,073.14/107,741.68 = 42,263.84/x
  3. Step 3: Cross multiply
    78,073.14x = 107,741.68 × 42,263.84
  4. Step 4: Simplify right side
    78,073.14x = 4,553,577,124.85
  5. Step 5: Solve for x
    x = 4,553,577,124.85/78,073.14
  6. Step 6: Final answer
    x = 58,324.50

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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.