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Finding the Fourth Proportional to 54,691.74, 82,041.63 and 19,631.70

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Solution

The fourth proportional to 54,691.74, 82,041.63 and 19,631.70 is: 29,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.74 : 82,041.63 = 19,631.70 : x
  2. Step 2: Convert to fraction form
    54,691.74/82,041.63 = 19,631.70/x
  3. Step 3: Cross multiply
    54,691.74x = 82,041.63 × 19,631.70
  4. Step 4: Simplify right side
    54,691.74x = 1,610,616,667.67
  5. Step 5: Solve for x
    x = 1,610,616,667.67/54,691.74
  6. Step 6: Final answer
    x = 29,448.99

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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.