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Finding the Fourth Proportional to 29,678.17, 40,960.47 and 16,931.38

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Solution

The fourth proportional to 29,678.17, 40,960.47 and 16,931.38 is: 23,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.17 : 40,960.47 = 16,931.38 : x
  2. Step 2: Convert to fraction form
    29,678.17/40,960.47 = 16,931.38/x
  3. Step 3: Cross multiply
    29,678.17x = 40,960.47 × 16,931.38
  4. Step 4: Simplify right side
    29,678.17x = 693,517,282.55
  5. Step 5: Solve for x
    x = 693,517,282.55/29,678.17
  6. Step 6: Final answer
    x = 23,367.93

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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.