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Finding the Fourth Proportional to 32,254.52, 48,395.64 and 17,474

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Solution

The fourth proportional to 32,254.52, 48,395.64 and 17,474 is: 26,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.52 : 48,395.64 = 17,474 : x
  2. Step 2: Convert to fraction form
    32,254.52/48,395.64 = 17,474/x
  3. Step 3: Cross multiply
    32,254.52x = 48,395.64 × 17,474
  4. Step 4: Simplify right side
    32,254.52x = 845,665,413.36
  5. Step 5: Solve for x
    x = 845,665,413.36/32,254.52
  6. Step 6: Final answer
    x = 26,218.51

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Why These Related Problems?

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