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Finding the Fourth Proportional to 29,041.96, 43,562.93 and 8,265.46

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Solution

The fourth proportional to 29,041.96, 43,562.93 and 8,265.46 is: 12,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,041.96 : 43,562.93 = 8,265.46 : x
  2. Step 2: Convert to fraction form
    29,041.96/43,562.93 = 8,265.46/x
  3. Step 3: Cross multiply
    29,041.96x = 43,562.93 × 8,265.46
  4. Step 4: Simplify right side
    29,041.96x = 360,067,655.40
  5. Step 5: Solve for x
    x = 360,067,655.40/29,041.96
  6. Step 6: Final answer
    x = 12,398.19

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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.