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Finding the Fourth Proportional to 83,200.50, 124,776.12 and 24,036.72

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Solution

The fourth proportional to 83,200.50, 124,776.12 and 24,036.72 is: 36,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200.50 : 124,776.12 = 24,036.72 : x
  2. Step 2: Convert to fraction form
    83,200.50/124,776.12 = 24,036.72/x
  3. Step 3: Cross multiply
    83,200.50x = 124,776.12 × 24,036.72
  4. Step 4: Simplify right side
    83,200.50x = 2,999,208,659.13
  5. Step 5: Solve for x
    x = 2,999,208,659.13/83,200.50
  6. Step 6: Final answer
    x = 36,047.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.