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Finding the Fourth Proportional to 48,578.74, 72,849.02 and 23,611.48

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Solution

The fourth proportional to 48,578.74, 72,849.02 and 23,611.48 is: 35,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578.74 : 72,849.02 = 23,611.48 : x
  2. Step 2: Convert to fraction form
    48,578.74/72,849.02 = 23,611.48/x
  3. Step 3: Cross multiply
    48,578.74x = 72,849.02 × 23,611.48
  4. Step 4: Simplify right side
    48,578.74x = 1,720,073,178.75
  5. Step 5: Solve for x
    x = 1,720,073,178.75/48,578.74
  6. Step 6: Final answer
    x = 35,407.94

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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.