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Finding the Fourth Proportional to 41,881.93, 62,813.16 and 12,291.82

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Solution

The fourth proportional to 41,881.93, 62,813.16 and 12,291.82 is: 18,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,881.93 : 62,813.16 = 12,291.82 : x
  2. Step 2: Convert to fraction form
    41,881.93/62,813.16 = 12,291.82/x
  3. Step 3: Cross multiply
    41,881.93x = 62,813.16 × 12,291.82
  4. Step 4: Simplify right side
    41,881.93x = 772,088,056.35
  5. Step 5: Solve for x
    x = 772,088,056.35/41,881.93
  6. Step 6: Final answer
    x = 18,434.87

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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.