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Finding the Fourth Proportional to 83,528, 125,296.25 and 24,368.13

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Solution

The fourth proportional to 83,528, 125,296.25 and 24,368.13 is: 36,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,528 : 125,296.25 = 24,368.13 : x
  2. Step 2: Convert to fraction form
    83,528/125,296.25 = 24,368.13/x
  3. Step 3: Cross multiply
    83,528x = 125,296.25 × 24,368.13
  4. Step 4: Simplify right side
    83,528x = 3,053,235,308.51
  5. Step 5: Solve for x
    x = 3,053,235,308.51/83,528
  6. Step 6: Final answer
    x = 36,553.43

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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.