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Finding the Fourth Proportional to 83,116.80, 124,675.20 and 48,015.45

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Solution

The fourth proportional to 83,116.80, 124,675.20 and 48,015.45 is: 72,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.80 : 124,675.20 = 48,015.45 : x
  2. Step 2: Convert to fraction form
    83,116.80/124,675.20 = 48,015.45/x
  3. Step 3: Cross multiply
    83,116.80x = 124,675.20 × 48,015.45
  4. Step 4: Simplify right side
    83,116.80x = 5,986,335,831.84
  5. Step 5: Solve for x
    x = 5,986,335,831.84/83,116.80
  6. Step 6: Final answer
    x = 72,023.18

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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.