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Finding the Fourth Proportional to 48,102.68, 72,169.72 and 23,144.76

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Solution

The fourth proportional to 48,102.68, 72,169.72 and 23,144.76 is: 34,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.68 : 72,169.72 = 23,144.76 : x
  2. Step 2: Convert to fraction form
    48,102.68/72,169.72 = 23,144.76/x
  3. Step 3: Cross multiply
    48,102.68x = 72,169.72 × 23,144.76
  4. Step 4: Simplify right side
    48,102.68x = 1,670,350,790.81
  5. Step 5: Solve for x
    x = 1,670,350,790.81/48,102.68
  6. Step 6: Final answer
    x = 34,724.69

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1.5x scale

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.