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Finding the Fourth Proportional to 29,382, 40,548.12 and 16,134

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Solution

The fourth proportional to 29,382, 40,548.12 and 16,134 is: 22,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382 : 40,548.12 = 16,134 : x
  2. Step 2: Convert to fraction form
    29,382/40,548.12 = 16,134/x
  3. Step 3: Cross multiply
    29,382x = 40,548.12 × 16,134
  4. Step 4: Simplify right side
    29,382x = 654,203,368.08
  5. Step 5: Solve for x
    x = 654,203,368.08/29,382
  6. Step 6: Final answer
    x = 22,265.45

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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.