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Finding the Fourth Proportional to 30,184.64, 41,652.49 and 17,432

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Solution

The fourth proportional to 30,184.64, 41,652.49 and 17,432 is: 24,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.64 : 41,652.49 = 17,432 : x
  2. Step 2: Convert to fraction form
    30,184.64/41,652.49 = 17,432/x
  3. Step 3: Cross multiply
    30,184.64x = 41,652.49 × 17,432
  4. Step 4: Simplify right side
    30,184.64x = 726,086,205.68
  5. Step 5: Solve for x
    x = 726,086,205.68/30,184.64
  6. Step 6: Final answer
    x = 24,054.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.