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Finding the Fourth Proportional to 81,534.52, 122,535.06 and 40,010.68

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Solution

The fourth proportional to 81,534.52, 122,535.06 and 40,010.68 is: 60,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.52 : 122,535.06 = 40,010.68 : x
  2. Step 2: Convert to fraction form
    81,534.52/122,535.06 = 40,010.68/x
  3. Step 3: Cross multiply
    81,534.52x = 122,535.06 × 40,010.68
  4. Step 4: Simplify right side
    81,534.52x = 4,902,711,074.44
  5. Step 5: Solve for x
    x = 4,902,711,074.44/81,534.52
  6. Step 6: Final answer
    x = 60,130.50

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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.