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Finding the Fourth Proportional to 106,540.84, 159,811.26 and 36,420.76

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Solution

The fourth proportional to 106,540.84, 159,811.26 and 36,420.76 is: 54,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.84 : 159,811.26 = 36,420.76 : x
  2. Step 2: Convert to fraction form
    106,540.84/159,811.26 = 36,420.76/x
  3. Step 3: Cross multiply
    106,540.84x = 159,811.26 × 36,420.76
  4. Step 4: Simplify right side
    106,540.84x = 5,820,447,545.76
  5. Step 5: Solve for x
    x = 5,820,447,545.76/106,540.84
  6. Step 6: Final answer
    x = 54,631.14

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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.