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Finding the Fourth Proportional to 52,876.68, 72,986.14 and 34,013.80

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Solution

The fourth proportional to 52,876.68, 72,986.14 and 34,013.80 is: 46,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876.68 : 72,986.14 = 34,013.80 : x
  2. Step 2: Convert to fraction form
    52,876.68/72,986.14 = 34,013.80/x
  3. Step 3: Cross multiply
    52,876.68x = 72,986.14 × 34,013.80
  4. Step 4: Simplify right side
    52,876.68x = 2,482,535,968.73
  5. Step 5: Solve for x
    x = 2,482,535,968.73/52,876.68
  6. Step 6: Final answer
    x = 46,949.54

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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.