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Finding the Fourth Proportional to 75,671.82, 113,503.50 and 23,077.17

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Solution

The fourth proportional to 75,671.82, 113,503.50 and 23,077.17 is: 34,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.82 : 113,503.50 = 23,077.17 : x
  2. Step 2: Convert to fraction form
    75,671.82/113,503.50 = 23,077.17/x
  3. Step 3: Cross multiply
    75,671.82x = 113,503.50 × 23,077.17
  4. Step 4: Simplify right side
    75,671.82x = 2,619,339,565.10
  5. Step 5: Solve for x
    x = 2,619,339,565.10/75,671.82
  6. Step 6: Final answer
    x = 34,614.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.