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Finding the Fourth Proportional to 32,165.71, 48,222.79 and 15,290.25

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Solution

The fourth proportional to 32,165.71, 48,222.79 and 15,290.25 is: 22,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.71 : 48,222.79 = 15,290.25 : x
  2. Step 2: Convert to fraction form
    32,165.71/48,222.79 = 15,290.25/x
  3. Step 3: Cross multiply
    32,165.71x = 48,222.79 × 15,290.25
  4. Step 4: Simplify right side
    32,165.71x = 737,338,295.74
  5. Step 5: Solve for x
    x = 737,338,295.74/32,165.71
  6. Step 6: Final answer
    x = 22,923.12

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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.