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Finding the Fourth Proportional to 99,081.68, 148,652.76 and 31,611.92

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Solution

The fourth proportional to 99,081.68, 148,652.76 and 31,611.92 is: 47,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,081.68 : 148,652.76 = 31,611.92 : x
  2. Step 2: Convert to fraction form
    99,081.68/148,652.76 = 31,611.92/x
  3. Step 3: Cross multiply
    99,081.68x = 148,652.76 × 31,611.92
  4. Step 4: Simplify right side
    99,081.68x = 4,699,199,156.90
  5. Step 5: Solve for x
    x = 4,699,199,156.90/99,081.68
  6. Step 6: Final answer
    x = 47,427.53

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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.