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Finding the Fourth Proportional to 83,023.84, 114,572.88 and 45,298.24

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Solution

The fourth proportional to 83,023.84, 114,572.88 and 45,298.24 is: 62,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023.84 : 114,572.88 = 45,298.24 : x
  2. Step 2: Convert to fraction form
    83,023.84/114,572.88 = 45,298.24/x
  3. Step 3: Cross multiply
    83,023.84x = 114,572.88 × 45,298.24
  4. Step 4: Simplify right side
    83,023.84x = 5,189,949,815.73
  5. Step 5: Solve for x
    x = 5,189,949,815.73/83,023.84
  6. Step 6: Final answer
    x = 62,511.56

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1.5x scale

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.