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Finding the Fourth Proportional to 52,883.60, 79,304.82 and 26,570

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Solution

The fourth proportional to 52,883.60, 79,304.82 and 26,570 is: 39,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,883.60 : 79,304.82 = 26,570 : x
  2. Step 2: Convert to fraction form
    52,883.60/79,304.82 = 26,570/x
  3. Step 3: Cross multiply
    52,883.60x = 79,304.82 × 26,570
  4. Step 4: Simplify right side
    52,883.60x = 2,107,129,067.40
  5. Step 5: Solve for x
    x = 2,107,129,067.40/52,883.60
  6. Step 6: Final answer
    x = 39,844.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.