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Finding the Fourth Proportional to 27,695.90, 38,220.72 and 15,759.30

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Solution

The fourth proportional to 27,695.90, 38,220.72 and 15,759.30 is: 21,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695.90 : 38,220.72 = 15,759.30 : x
  2. Step 2: Convert to fraction form
    27,695.90/38,220.72 = 15,759.30/x
  3. Step 3: Cross multiply
    27,695.90x = 38,220.72 × 15,759.30
  4. Step 4: Simplify right side
    27,695.90x = 602,331,792.70
  5. Step 5: Solve for x
    x = 602,331,792.70/27,695.90
  6. Step 6: Final answer
    x = 21,748.05

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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.