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Finding the Fourth Proportional to 83,287.86, 114,937.11 and 45,562.11

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Solution

The fourth proportional to 83,287.86, 114,937.11 and 45,562.11 is: 62,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.86 : 114,937.11 = 45,562.11 : x
  2. Step 2: Convert to fraction form
    83,287.86/114,937.11 = 45,562.11/x
  3. Step 3: Cross multiply
    83,287.86x = 114,937.11 × 45,562.11
  4. Step 4: Simplify right side
    83,287.86x = 5,236,777,248.90
  5. Step 5: Solve for x
    x = 5,236,777,248.90/83,287.86
  6. Step 6: Final answer
    x = 62,875.64

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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.