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Finding the Fourth Proportional to 83,454.96, 125,156.52 and 28,038

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Solution

The fourth proportional to 83,454.96, 125,156.52 and 28,038 is: 42,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,454.96 : 125,156.52 = 28,038 : x
  2. Step 2: Convert to fraction form
    83,454.96/125,156.52 = 28,038/x
  3. Step 3: Cross multiply
    83,454.96x = 125,156.52 × 28,038
  4. Step 4: Simplify right side
    83,454.96x = 3,509,138,507.76
  5. Step 5: Solve for x
    x = 3,509,138,507.76/83,454.96
  6. Step 6: Final answer
    x = 42,048.29

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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.