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Finding the Fourth Proportional to 60,305.28, 90,463.68 and 27,024

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Solution

The fourth proportional to 60,305.28, 90,463.68 and 27,024 is: 40,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,305.28 : 90,463.68 = 27,024 : x
  2. Step 2: Convert to fraction form
    60,305.28/90,463.68 = 27,024/x
  3. Step 3: Cross multiply
    60,305.28x = 90,463.68 × 27,024
  4. Step 4: Simplify right side
    60,305.28x = 2,444,690,488.32
  5. Step 5: Solve for x
    x = 2,444,690,488.32/60,305.28
  6. Step 6: Final answer
    x = 40,538.58

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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.