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Finding the Fourth Proportional to 29,141.88, 40,214.31 and 17,809.14

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Solution

The fourth proportional to 29,141.88, 40,214.31 and 17,809.14 is: 24,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.88 : 40,214.31 = 17,809.14 : x
  2. Step 2: Convert to fraction form
    29,141.88/40,214.31 = 17,809.14/x
  3. Step 3: Cross multiply
    29,141.88x = 40,214.31 × 17,809.14
  4. Step 4: Simplify right side
    29,141.88x = 716,182,276.79
  5. Step 5: Solve for x
    x = 716,182,276.79/29,141.88
  6. Step 6: Final answer
    x = 24,575.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.