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Finding the Fourth Proportional to 95,306.82, 142,981.02 and 36,143.07

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Solution

The fourth proportional to 95,306.82, 142,981.02 and 36,143.07 is: 54,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,306.82 : 142,981.02 = 36,143.07 : x
  2. Step 2: Convert to fraction form
    95,306.82/142,981.02 = 36,143.07/x
  3. Step 3: Cross multiply
    95,306.82x = 142,981.02 × 36,143.07
  4. Step 4: Simplify right side
    95,306.82x = 5,167,773,014.53
  5. Step 5: Solve for x
    x = 5,167,773,014.53/95,306.82
  6. Step 6: Final answer
    x = 54,222.49

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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.