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Finding the Fourth Proportional to 32,135.49, 48,223.19 and 15,497.23

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Solution

The fourth proportional to 32,135.49, 48,223.19 and 15,497.23 is: 23,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.49 : 48,223.19 = 15,497.23 : x
  2. Step 2: Convert to fraction form
    32,135.49/48,223.19 = 15,497.23/x
  3. Step 3: Cross multiply
    32,135.49x = 48,223.19 × 15,497.23
  4. Step 4: Simplify right side
    32,135.49x = 747,325,866.76
  5. Step 5: Solve for x
    x = 747,325,866.76/32,135.49
  6. Step 6: Final answer
    x = 23,255.47

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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.