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Finding the Fourth Proportional to 115,523, 173,284.50 and 41,651

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Solution

The fourth proportional to 115,523, 173,284.50 and 41,651 is: 62,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,523 : 173,284.50 = 41,651 : x
  2. Step 2: Convert to fraction form
    115,523/173,284.50 = 41,651/x
  3. Step 3: Cross multiply
    115,523x = 173,284.50 × 41,651
  4. Step 4: Simplify right side
    115,523x = 7,217,472,709.50
  5. Step 5: Solve for x
    x = 7,217,472,709.50/115,523
  6. Step 6: Final answer
    x = 62,476.50

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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.