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Finding the Fourth Proportional to 108,381.76, 162,577.76 and 38,268.48

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Solution

The fourth proportional to 108,381.76, 162,577.76 and 38,268.48 is: 57,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,381.76 : 162,577.76 = 38,268.48 : x
  2. Step 2: Convert to fraction form
    108,381.76/162,577.76 = 38,268.48/x
  3. Step 3: Cross multiply
    108,381.76x = 162,577.76 × 38,268.48
  4. Step 4: Simplify right side
    108,381.76x = 6,221,603,757.00
  5. Step 5: Solve for x
    x = 6,221,603,757.00/108,381.76
  6. Step 6: Final answer
    x = 57,404.53

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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.