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Finding the Fourth Proportional to 102,031.37, 153,046.83 and 27,151.50

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Solution

The fourth proportional to 102,031.37, 153,046.83 and 27,151.50 is: 40,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.37 : 153,046.83 = 27,151.50 : x
  2. Step 2: Convert to fraction form
    102,031.37/153,046.83 = 27,151.50/x
  3. Step 3: Cross multiply
    102,031.37x = 153,046.83 × 27,151.50
  4. Step 4: Simplify right side
    102,031.37x = 4,155,451,004.75
  5. Step 5: Solve for x
    x = 4,155,451,004.75/102,031.37
  6. Step 6: Final answer
    x = 40,727.19

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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.