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Finding the Fourth Proportional to 52,079.88, 71,869.86 and 28,206

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Solution

The fourth proportional to 52,079.88, 71,869.86 and 28,206 is: 38,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079.88 : 71,869.86 = 28,206 : x
  2. Step 2: Convert to fraction form
    52,079.88/71,869.86 = 28,206/x
  3. Step 3: Cross multiply
    52,079.88x = 71,869.86 × 28,206
  4. Step 4: Simplify right side
    52,079.88x = 2,027,161,271.16
  5. Step 5: Solve for x
    x = 2,027,161,271.16/52,079.88
  6. Step 6: Final answer
    x = 38,924.08

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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.