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Finding the Fourth Proportional to 101,003.52, 151,527.12 and 38,674

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Solution

The fourth proportional to 101,003.52, 151,527.12 and 38,674 is: 58,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,003.52 : 151,527.12 = 38,674 : x
  2. Step 2: Convert to fraction form
    101,003.52/151,527.12 = 38,674/x
  3. Step 3: Cross multiply
    101,003.52x = 151,527.12 × 38,674
  4. Step 4: Simplify right side
    101,003.52x = 5,860,159,838.88
  5. Step 5: Solve for x
    x = 5,860,159,838.88/101,003.52
  6. Step 6: Final answer
    x = 58,019.36

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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.