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Finding the Fourth Proportional to 71,266.16, 106,816.62 and 26,864.48

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Solution

The fourth proportional to 71,266.16, 106,816.62 and 26,864.48 is: 40,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266.16 : 106,816.62 = 26,864.48 : x
  2. Step 2: Convert to fraction form
    71,266.16/106,816.62 = 26,864.48/x
  3. Step 3: Cross multiply
    71,266.16x = 106,816.62 × 26,864.48
  4. Step 4: Simplify right side
    71,266.16x = 2,869,572,951.66
  5. Step 5: Solve for x
    x = 2,869,572,951.66/71,266.16
  6. Step 6: Final answer
    x = 40,265.58

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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.