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Finding the Fourth Proportional to 83,232.90, 124,846.10 and 45,867.06

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Solution

The fourth proportional to 83,232.90, 124,846.10 and 45,867.06 is: 68,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.90 : 124,846.10 = 45,867.06 : x
  2. Step 2: Convert to fraction form
    83,232.90/124,846.10 = 45,867.06/x
  3. Step 3: Cross multiply
    83,232.90x = 124,846.10 × 45,867.06
  4. Step 4: Simplify right side
    83,232.90x = 5,726,323,559.47
  5. Step 5: Solve for x
    x = 5,726,323,559.47/83,232.90
  6. Step 6: Final answer
    x = 68,798.80

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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.