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Finding the Fourth Proportional to 86,029.36, 129,044.07 and 26,869.66

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Solution

The fourth proportional to 86,029.36, 129,044.07 and 26,869.66 is: 40,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029.36 : 129,044.07 = 26,869.66 : x
  2. Step 2: Convert to fraction form
    86,029.36/129,044.07 = 26,869.66/x
  3. Step 3: Cross multiply
    86,029.36x = 129,044.07 × 26,869.66
  4. Step 4: Simplify right side
    86,029.36x = 3,467,369,963.31
  5. Step 5: Solve for x
    x = 3,467,369,963.31/86,029.36
  6. Step 6: Final answer
    x = 40,304.50

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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.