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Finding the Fourth Proportional to 75,874.50, 113,733.99 and 31,527

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Solution

The fourth proportional to 75,874.50, 113,733.99 and 31,527 is: 47,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.50 : 113,733.99 = 31,527 : x
  2. Step 2: Convert to fraction form
    75,874.50/113,733.99 = 31,527/x
  3. Step 3: Cross multiply
    75,874.50x = 113,733.99 × 31,527
  4. Step 4: Simplify right side
    75,874.50x = 3,585,691,502.73
  5. Step 5: Solve for x
    x = 3,585,691,502.73/75,874.50
  6. Step 6: Final answer
    x = 47,258.19

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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.