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Finding the Fourth Proportional to 78,209.70, 117,314.79 and 19,045.38

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Solution

The fourth proportional to 78,209.70, 117,314.79 and 19,045.38 is: 28,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.70 : 117,314.79 = 19,045.38 : x
  2. Step 2: Convert to fraction form
    78,209.70/117,314.79 = 19,045.38/x
  3. Step 3: Cross multiply
    78,209.70x = 117,314.79 × 19,045.38
  4. Step 4: Simplify right side
    78,209.70x = 2,234,304,755.17
  5. Step 5: Solve for x
    x = 2,234,304,755.17/78,209.70
  6. Step 6: Final answer
    x = 28,568.13

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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.