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Finding the Fourth Proportional to 54,767.80, 82,151.70 and 13,214.80

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Solution

The fourth proportional to 54,767.80, 82,151.70 and 13,214.80 is: 19,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,767.80 : 82,151.70 = 13,214.80 : x
  2. Step 2: Convert to fraction form
    54,767.80/82,151.70 = 13,214.80/x
  3. Step 3: Cross multiply
    54,767.80x = 82,151.70 × 13,214.80
  4. Step 4: Simplify right side
    54,767.80x = 1,085,618,285.16
  5. Step 5: Solve for x
    x = 1,085,618,285.16/54,767.80
  6. Step 6: Final answer
    x = 19,822.20

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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.