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Finding the Fourth Proportional to 29,302, 40,433.86 and 16,378.84

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Solution

The fourth proportional to 29,302, 40,433.86 and 16,378.84 is: 22,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302 : 40,433.86 = 16,378.84 : x
  2. Step 2: Convert to fraction form
    29,302/40,433.86 = 16,378.84/x
  3. Step 3: Cross multiply
    29,302x = 40,433.86 × 16,378.84
  4. Step 4: Simplify right side
    29,302x = 662,259,723.52
  5. Step 5: Solve for x
    x = 662,259,723.52/29,302
  6. Step 6: Final answer
    x = 22,601.18

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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.