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Finding the Fourth Proportional to 48,732, 67,262.76 and 31,778.52

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Solution

The fourth proportional to 48,732, 67,262.76 and 31,778.52 is: 43,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732 : 67,262.76 = 31,778.52 : x
  2. Step 2: Convert to fraction form
    48,732/67,262.76 = 31,778.52/x
  3. Step 3: Cross multiply
    48,732x = 67,262.76 × 31,778.52
  4. Step 4: Simplify right side
    48,732x = 2,137,510,963.92
  5. Step 5: Solve for x
    x = 2,137,510,963.92/48,732
  6. Step 6: Final answer
    x = 43,862.57

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Why These Related Problems?

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