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Finding the Fourth Proportional to 54,681.40, 82,022.10 and 34,901.20

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Solution

The fourth proportional to 54,681.40, 82,022.10 and 34,901.20 is: 52,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681.40 : 82,022.10 = 34,901.20 : x
  2. Step 2: Convert to fraction form
    54,681.40/82,022.10 = 34,901.20/x
  3. Step 3: Cross multiply
    54,681.40x = 82,022.10 × 34,901.20
  4. Step 4: Simplify right side
    54,681.40x = 2,862,669,716.52
  5. Step 5: Solve for x
    x = 2,862,669,716.52/54,681.40
  6. Step 6: Final answer
    x = 52,351.80

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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.