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Finding the Fourth Proportional to 83,748, 115,572.30 and 46,022.52

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Solution

The fourth proportional to 83,748, 115,572.30 and 46,022.52 is: 63,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,748 : 115,572.30 = 46,022.52 : x
  2. Step 2: Convert to fraction form
    83,748/115,572.30 = 46,022.52/x
  3. Step 3: Cross multiply
    83,748x = 115,572.30 × 46,022.52
  4. Step 4: Simplify right side
    83,748x = 5,318,928,488.20
  5. Step 5: Solve for x
    x = 5,318,928,488.20/83,748
  6. Step 6: Final answer
    x = 63,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.