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Finding the Fourth Proportional to 100,588.38, 150,652.86 and 48,034.77

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Solution

The fourth proportional to 100,588.38, 150,652.86 and 48,034.77 is: 71,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588.38 : 150,652.86 = 48,034.77 : x
  2. Step 2: Convert to fraction form
    100,588.38/150,652.86 = 48,034.77/x
  3. Step 3: Cross multiply
    100,588.38x = 150,652.86 × 48,034.77
  4. Step 4: Simplify right side
    100,588.38x = 7,236,575,479.94
  5. Step 5: Solve for x
    x = 7,236,575,479.94/100,588.38
  6. Step 6: Final answer
    x = 71,942.46

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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.