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Finding the Fourth Proportional to 52,079.45, 71,869.62 and 28,206.12

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Solution

The fourth proportional to 52,079.45, 71,869.62 and 28,206.12 is: 38,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079.45 : 71,869.62 = 28,206.12 : x
  2. Step 2: Convert to fraction form
    52,079.45/71,869.62 = 28,206.12/x
  3. Step 3: Cross multiply
    52,079.45x = 71,869.62 × 28,206.12
  4. Step 4: Simplify right side
    52,079.45x = 2,027,163,126.07
  5. Step 5: Solve for x
    x = 2,027,163,126.07/52,079.45
  6. Step 6: Final answer
    x = 38,924.43

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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.