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Finding the Fourth Proportional to 52,055, 78,084.66 and 15,119

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Solution

The fourth proportional to 52,055, 78,084.66 and 15,119 is: 22,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055 : 78,084.66 = 15,119 : x
  2. Step 2: Convert to fraction form
    52,055/78,084.66 = 15,119/x
  3. Step 3: Cross multiply
    52,055x = 78,084.66 × 15,119
  4. Step 4: Simplify right side
    52,055x = 1,180,561,974.54
  5. Step 5: Solve for x
    x = 1,180,561,974.54/52,055
  6. Step 6: Final answer
    x = 22,679.13

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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.