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Finding the Fourth Proportional to 82,707, 114,136.20 and 44,981.52

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Solution

The fourth proportional to 82,707, 114,136.20 and 44,981.52 is: 62,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,707 : 114,136.20 = 44,981.52 : x
  2. Step 2: Convert to fraction form
    82,707/114,136.20 = 44,981.52/x
  3. Step 3: Cross multiply
    82,707x = 114,136.20 × 44,981.52
  4. Step 4: Simplify right side
    82,707x = 5,134,019,763.02
  5. Step 5: Solve for x
    x = 5,134,019,763.02/82,707
  6. Step 6: Final answer
    x = 62,074.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.