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Finding the Fourth Proportional to 83,490.16, 125,233.08 and 28,086.16

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Solution

The fourth proportional to 83,490.16, 125,233.08 and 28,086.16 is: 42,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.16 : 125,233.08 = 28,086.16 : x
  2. Step 2: Convert to fraction form
    83,490.16/125,233.08 = 28,086.16/x
  3. Step 3: Cross multiply
    83,490.16x = 125,233.08 × 28,086.16
  4. Step 4: Simplify right side
    83,490.16x = 3,517,316,322.17
  5. Step 5: Solve for x
    x = 3,517,316,322.17/83,490.16
  6. Step 6: Final answer
    x = 42,128.51

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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.