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Finding the Fourth Proportional to 32,084.39, 48,126.81 and 9,897.28

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Solution

The fourth proportional to 32,084.39, 48,126.81 and 9,897.28 is: 14,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.39 : 48,126.81 = 9,897.28 : x
  2. Step 2: Convert to fraction form
    32,084.39/48,126.81 = 9,897.28/x
  3. Step 3: Cross multiply
    32,084.39x = 48,126.81 × 9,897.28
  4. Step 4: Simplify right side
    32,084.39x = 476,324,273.44
  5. Step 5: Solve for x
    x = 476,324,273.44/32,084.39
  6. Step 6: Final answer
    x = 14,845.98

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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.