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Finding the Fourth Proportional to 75,083.32, 103,494.78 and 50,876.92

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Solution

The fourth proportional to 75,083.32, 103,494.78 and 50,876.92 is: 70,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,083.32 : 103,494.78 = 50,876.92 : x
  2. Step 2: Convert to fraction form
    75,083.32/103,494.78 = 50,876.92/x
  3. Step 3: Cross multiply
    75,083.32x = 103,494.78 × 50,876.92
  4. Step 4: Simplify right side
    75,083.32x = 5,265,495,642.48
  5. Step 5: Solve for x
    x = 5,265,495,642.48/75,083.32
  6. Step 6: Final answer
    x = 70,128.70

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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.