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Finding the Fourth Proportional to 52,006, 78,021.96 and 15,070

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Solution

The fourth proportional to 52,006, 78,021.96 and 15,070 is: 22,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 78,021.96 = 15,070 : x
  2. Step 2: Convert to fraction form
    52,006/78,021.96 = 15,070/x
  3. Step 3: Cross multiply
    52,006x = 78,021.96 × 15,070
  4. Step 4: Simplify right side
    52,006x = 1,175,790,937.20
  5. Step 5: Solve for x
    x = 1,175,790,937.20/52,006
  6. Step 6: Final answer
    x = 22,608.76

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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.