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Finding the Fourth Proportional to 108,463.46, 162,678.78 and 29,583.90

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Solution

The fourth proportional to 108,463.46, 162,678.78 and 29,583.90 is: 44,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,463.46 : 162,678.78 = 29,583.90 : x
  2. Step 2: Convert to fraction form
    108,463.46/162,678.78 = 29,583.90/x
  3. Step 3: Cross multiply
    108,463.46x = 162,678.78 × 29,583.90
  4. Step 4: Simplify right side
    108,463.46x = 4,812,672,759.64
  5. Step 5: Solve for x
    x = 4,812,672,759.64/108,463.46
  6. Step 6: Final answer
    x = 44,371.38

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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.