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Finding the Fourth Proportional to 27,911.40, 38,417.58 and 25,253.16

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Solution

The fourth proportional to 27,911.40, 38,417.58 and 25,253.16 is: 34,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.40 : 38,417.58 = 25,253.16 : x
  2. Step 2: Convert to fraction form
    27,911.40/38,417.58 = 25,253.16/x
  3. Step 3: Cross multiply
    27,911.40x = 38,417.58 × 25,253.16
  4. Step 4: Simplify right side
    27,911.40x = 970,165,294.55
  5. Step 5: Solve for x
    x = 970,165,294.55/27,911.40
  6. Step 6: Final answer
    x = 34,758.75

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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.