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Finding the Fourth Proportional to 54,981.72, 82,472.58 and 19,909.80

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Solution

The fourth proportional to 54,981.72, 82,472.58 and 19,909.80 is: 29,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,981.72 : 82,472.58 = 19,909.80 : x
  2. Step 2: Convert to fraction form
    54,981.72/82,472.58 = 19,909.80/x
  3. Step 3: Cross multiply
    54,981.72x = 82,472.58 × 19,909.80
  4. Step 4: Simplify right side
    54,981.72x = 1,642,012,573.28
  5. Step 5: Solve for x
    x = 1,642,012,573.28/54,981.72
  6. Step 6: Final answer
    x = 29,864.70

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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.