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Finding the Fourth Proportional to 52,019.94, 71,787 and 28,146.09

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Solution

The fourth proportional to 52,019.94, 71,787 and 28,146.09 is: 38,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019.94 : 71,787 = 28,146.09 : x
  2. Step 2: Convert to fraction form
    52,019.94/71,787 = 28,146.09/x
  3. Step 3: Cross multiply
    52,019.94x = 71,787 × 28,146.09
  4. Step 4: Simplify right side
    52,019.94x = 2,020,523,362.83
  5. Step 5: Solve for x
    x = 2,020,523,362.83/52,019.94
  6. Step 6: Final answer
    x = 38,841.32

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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.