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Finding the Fourth Proportional to 29,089.78, 43,637.18 and 8,029.82

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Solution

The fourth proportional to 29,089.78, 43,637.18 and 8,029.82 is: 12,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.78 : 43,637.18 = 8,029.82 : x
  2. Step 2: Convert to fraction form
    29,089.78/43,637.18 = 8,029.82/x
  3. Step 3: Cross multiply
    29,089.78x = 43,637.18 × 8,029.82
  4. Step 4: Simplify right side
    29,089.78x = 350,398,700.71
  5. Step 5: Solve for x
    x = 350,398,700.71/29,089.78
  6. Step 6: Final answer
    x = 12,045.42

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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.