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Finding the Fourth Proportional to 52,019.31, 71,786.46 and 28,146

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Solution

The fourth proportional to 52,019.31, 71,786.46 and 28,146 is: 38,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019.31 : 71,786.46 = 28,146 : x
  2. Step 2: Convert to fraction form
    52,019.31/71,786.46 = 28,146/x
  3. Step 3: Cross multiply
    52,019.31x = 71,786.46 × 28,146
  4. Step 4: Simplify right side
    52,019.31x = 2,020,501,703.16
  5. Step 5: Solve for x
    x = 2,020,501,703.16/52,019.31
  6. Step 6: Final answer
    x = 38,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.