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Finding the Fourth Proportional to 99,862.16, 149,785.02 and 29,741.46

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Solution

The fourth proportional to 99,862.16, 149,785.02 and 29,741.46 is: 44,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,862.16 : 149,785.02 = 29,741.46 : x
  2. Step 2: Convert to fraction form
    99,862.16/149,785.02 = 29,741.46/x
  3. Step 3: Cross multiply
    99,862.16x = 149,785.02 × 29,741.46
  4. Step 4: Simplify right side
    99,862.16x = 4,454,825,180.93
  5. Step 5: Solve for x
    x = 4,454,825,180.93/99,862.16
  6. Step 6: Final answer
    x = 44,609.74

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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.