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Finding the Fourth Proportional to 86,545.30, 129,830.10 and 27,374.80

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Solution

The fourth proportional to 86,545.30, 129,830.10 and 27,374.80 is: 41,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,545.30 : 129,830.10 = 27,374.80 : x
  2. Step 2: Convert to fraction form
    86,545.30/129,830.10 = 27,374.80/x
  3. Step 3: Cross multiply
    86,545.30x = 129,830.10 × 27,374.80
  4. Step 4: Simplify right side
    86,545.30x = 3,554,073,021.48
  5. Step 5: Solve for x
    x = 3,554,073,021.48/86,545.30
  6. Step 6: Final answer
    x = 41,066.04

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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.