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Finding the Fourth Proportional to 49,461.90, 68,256.52 and 27,951.18

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Solution

The fourth proportional to 49,461.90, 68,256.52 and 27,951.18 is: 38,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,461.90 : 68,256.52 = 27,951.18 : x
  2. Step 2: Convert to fraction form
    49,461.90/68,256.52 = 27,951.18/x
  3. Step 3: Cross multiply
    49,461.90x = 68,256.52 × 27,951.18
  4. Step 4: Simplify right side
    49,461.90x = 1,907,849,950.85
  5. Step 5: Solve for x
    x = 1,907,849,950.85/49,461.90
  6. Step 6: Final answer
    x = 38,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.