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Finding the Fourth Proportional to 38,197.47, 57,261.57 and 20,646.80

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Solution

The fourth proportional to 38,197.47, 57,261.57 and 20,646.80 is: 30,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.47 : 57,261.57 = 20,646.80 : x
  2. Step 2: Convert to fraction form
    38,197.47/57,261.57 = 20,646.80/x
  3. Step 3: Cross multiply
    38,197.47x = 57,261.57 × 20,646.80
  4. Step 4: Simplify right side
    38,197.47x = 1,182,267,897.17
  5. Step 5: Solve for x
    x = 1,182,267,897.17/38,197.47
  6. Step 6: Final answer
    x = 30,951.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.