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Finding the Fourth Proportional to 29,326.32, 43,998.12 and 10,854

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Solution

The fourth proportional to 29,326.32, 43,998.12 and 10,854 is: 16,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,326.32 : 43,998.12 = 10,854 : x
  2. Step 2: Convert to fraction form
    29,326.32/43,998.12 = 10,854/x
  3. Step 3: Cross multiply
    29,326.32x = 43,998.12 × 10,854
  4. Step 4: Simplify right side
    29,326.32x = 477,555,594.48
  5. Step 5: Solve for x
    x = 477,555,594.48/29,326.32
  6. Step 6: Final answer
    x = 16,284.20

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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.