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Finding the Fourth Proportional to 108,273.20, 162,409.72 and 29,399

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Solution

The fourth proportional to 108,273.20, 162,409.72 and 29,399 is: 44,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,273.20 : 162,409.72 = 29,399 : x
  2. Step 2: Convert to fraction form
    108,273.20/162,409.72 = 29,399/x
  3. Step 3: Cross multiply
    108,273.20x = 162,409.72 × 29,399
  4. Step 4: Simplify right side
    108,273.20x = 4,774,683,358.28
  5. Step 5: Solve for x
    x = 4,774,683,358.28/108,273.20
  6. Step 6: Final answer
    x = 44,098.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.