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Finding the Fourth Proportional to 52,882, 79,326.24 and 15,946

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Solution

The fourth proportional to 52,882, 79,326.24 and 15,946 is: 23,919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,882 : 79,326.24 = 15,946 : x
  2. Step 2: Convert to fraction form
    52,882/79,326.24 = 15,946/x
  3. Step 3: Cross multiply
    52,882x = 79,326.24 × 15,946
  4. Step 4: Simplify right side
    52,882x = 1,264,936,223.04
  5. Step 5: Solve for x
    x = 1,264,936,223.04/52,882
  6. Step 6: Final answer
    x = 23,919.98

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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.