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Finding the Fourth Proportional to 52,017.75, 71,784.63 and 28,144.62

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Solution

The fourth proportional to 52,017.75, 71,784.63 and 28,144.62 is: 38,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.75 : 71,784.63 = 28,144.62 : x
  2. Step 2: Convert to fraction form
    52,017.75/71,784.63 = 28,144.62/x
  3. Step 3: Cross multiply
    52,017.75x = 71,784.63 × 28,144.62
  4. Step 4: Simplify right side
    52,017.75x = 2,020,351,133.19
  5. Step 5: Solve for x
    x = 2,020,351,133.19/52,017.75
  6. Step 6: Final answer
    x = 38,839.65

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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.