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Finding the Fourth Proportional to 70,733.86, 106,034.84 and 48,557.68

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Solution

The fourth proportional to 70,733.86, 106,034.84 and 48,557.68 is: 72,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,733.86 : 106,034.84 = 48,557.68 : x
  2. Step 2: Convert to fraction form
    70,733.86/106,034.84 = 48,557.68/x
  3. Step 3: Cross multiply
    70,733.86x = 106,034.84 × 48,557.68
  4. Step 4: Simplify right side
    70,733.86x = 5,148,805,829.57
  5. Step 5: Solve for x
    x = 5,148,805,829.57/70,733.86
  6. Step 6: Final answer
    x = 72,791.25

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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.