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Finding the Fourth Proportional to 29,614.84, 44,439.76 and 10,908

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Solution

The fourth proportional to 29,614.84, 44,439.76 and 10,908 is: 16,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614.84 : 44,439.76 = 10,908 : x
  2. Step 2: Convert to fraction form
    29,614.84/44,439.76 = 10,908/x
  3. Step 3: Cross multiply
    29,614.84x = 44,439.76 × 10,908
  4. Step 4: Simplify right side
    29,614.84x = 484,748,902.08
  5. Step 5: Solve for x
    x = 484,748,902.08/29,614.84
  6. Step 6: Final answer
    x = 16,368.45

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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.