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Finding the Fourth Proportional to 54,463.70, 81,707.70 and 21,180.80

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Solution

The fourth proportional to 54,463.70, 81,707.70 and 21,180.80 is: 31,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463.70 : 81,707.70 = 21,180.80 : x
  2. Step 2: Convert to fraction form
    54,463.70/81,707.70 = 21,180.80/x
  3. Step 3: Cross multiply
    54,463.70x = 81,707.70 × 21,180.80
  4. Step 4: Simplify right side
    54,463.70x = 1,730,634,452.16
  5. Step 5: Solve for x
    x = 1,730,634,452.16/54,463.70
  6. Step 6: Final answer
    x = 31,775.93

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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.