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Finding the Fourth Proportional to 108,706.38, 163,052.28 and 29,814

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Solution

The fourth proportional to 108,706.38, 163,052.28 and 29,814 is: 44,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,706.38 : 163,052.28 = 29,814 : x
  2. Step 2: Convert to fraction form
    108,706.38/163,052.28 = 29,814/x
  3. Step 3: Cross multiply
    108,706.38x = 163,052.28 × 29,814
  4. Step 4: Simplify right side
    108,706.38x = 4,861,240,675.92
  5. Step 5: Solve for x
    x = 4,861,240,675.92/108,706.38
  6. Step 6: Final answer
    x = 44,719.00

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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.