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Finding the Fourth Proportional to 29,154.31, 43,722.24 and 19,345.75

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Solution

The fourth proportional to 29,154.31, 43,722.24 and 19,345.75 is: 29,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154.31 : 43,722.24 = 19,345.75 : x
  2. Step 2: Convert to fraction form
    29,154.31/43,722.24 = 19,345.75/x
  3. Step 3: Cross multiply
    29,154.31x = 43,722.24 × 19,345.75
  4. Step 4: Simplify right side
    29,154.31x = 845,839,524.48
  5. Step 5: Solve for x
    x = 845,839,524.48/29,154.31
  6. Step 6: Final answer
    x = 29,012.50

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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.