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Finding the Fourth Proportional to 83,189.46, 124,713.47 and 36,407.38

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Solution

The fourth proportional to 83,189.46, 124,713.47 and 36,407.38 is: 54,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.46 : 124,713.47 = 36,407.38 : x
  2. Step 2: Convert to fraction form
    83,189.46/124,713.47 = 36,407.38/x
  3. Step 3: Cross multiply
    83,189.46x = 124,713.47 × 36,407.38
  4. Step 4: Simplify right side
    83,189.46x = 4,540,490,693.41
  5. Step 5: Solve for x
    x = 4,540,490,693.41/83,189.46
  6. Step 6: Final answer
    x = 54,580.12

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Why These Related Problems?

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