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Finding the Fourth Proportional to 108,643.68, 162,964.20 and 29,757.84

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Solution

The fourth proportional to 108,643.68, 162,964.20 and 29,757.84 is: 44,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,643.68 : 162,964.20 = 29,757.84 : x
  2. Step 2: Convert to fraction form
    108,643.68/162,964.20 = 29,757.84/x
  3. Step 3: Cross multiply
    108,643.68x = 162,964.20 × 29,757.84
  4. Step 4: Simplify right side
    108,643.68x = 4,849,462,589.33
  5. Step 5: Solve for x
    x = 4,849,462,589.33/108,643.68
  6. Step 6: Final answer
    x = 44,636.40

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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.