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Finding the Fourth Proportional to 29,301.43, 43,952.06 and 7,114.80

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Solution

The fourth proportional to 29,301.43, 43,952.06 and 7,114.80 is: 10,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301.43 : 43,952.06 = 7,114.80 : x
  2. Step 2: Convert to fraction form
    29,301.43/43,952.06 = 7,114.80/x
  3. Step 3: Cross multiply
    29,301.43x = 43,952.06 × 7,114.80
  4. Step 4: Simplify right side
    29,301.43x = 312,710,221.09
  5. Step 5: Solve for x
    x = 312,710,221.09/29,301.43
  6. Step 6: Final answer
    x = 10,672.18

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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.