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Finding the Fourth Proportional to 82,832.50, 124,201.36 and 38,436.40

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Solution

The fourth proportional to 82,832.50, 124,201.36 and 38,436.40 is: 57,632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.50 : 124,201.36 = 38,436.40 : x
  2. Step 2: Convert to fraction form
    82,832.50/124,201.36 = 38,436.40/x
  3. Step 3: Cross multiply
    82,832.50x = 124,201.36 × 38,436.40
  4. Step 4: Simplify right side
    82,832.50x = 4,773,853,153.50
  5. Step 5: Solve for x
    x = 4,773,853,153.50/82,832.50
  6. Step 6: Final answer
    x = 57,632.61

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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.