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Finding the Fourth Proportional to 82,762.27, 124,143.72 and 20,432.77

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Solution

The fourth proportional to 82,762.27, 124,143.72 and 20,432.77 is: 30,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.27 : 124,143.72 = 20,432.77 : x
  2. Step 2: Convert to fraction form
    82,762.27/124,143.72 = 20,432.77/x
  3. Step 3: Cross multiply
    82,762.27x = 124,143.72 × 20,432.77
  4. Step 4: Simplify right side
    82,762.27x = 2,536,600,077.70
  5. Step 5: Solve for x
    x = 2,536,600,077.70/82,762.27
  6. Step 6: Final answer
    x = 30,649.23

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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.