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Finding the Fourth Proportional to 49,337.96, 68,070.04 and 27,825.04

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Solution

The fourth proportional to 49,337.96, 68,070.04 and 27,825.04 is: 38,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,337.96 : 68,070.04 = 27,825.04 : x
  2. Step 2: Convert to fraction form
    49,337.96/68,070.04 = 27,825.04/x
  3. Step 3: Cross multiply
    49,337.96x = 68,070.04 × 27,825.04
  4. Step 4: Simplify right side
    49,337.96x = 1,894,051,585.80
  5. Step 5: Solve for x
    x = 1,894,051,585.80/49,337.96
  6. Step 6: Final answer
    x = 38,389.34

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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.