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Finding the Fourth Proportional to 27,748, 38,292.08 and 15,172.80

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Solution

The fourth proportional to 27,748, 38,292.08 and 15,172.80 is: 20,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748 : 38,292.08 = 15,172.80 : x
  2. Step 2: Convert to fraction form
    27,748/38,292.08 = 15,172.80/x
  3. Step 3: Cross multiply
    27,748x = 38,292.08 × 15,172.80
  4. Step 4: Simplify right side
    27,748x = 580,998,071.42
  5. Step 5: Solve for x
    x = 580,998,071.42/27,748
  6. Step 6: Final answer
    x = 20,938.38

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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.