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Finding the Fourth Proportional to 52,107.90, 71,908.34 and 28,233.16

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Solution

The fourth proportional to 52,107.90, 71,908.34 and 28,233.16 is: 38,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.90 : 71,908.34 = 28,233.16 : x
  2. Step 2: Convert to fraction form
    52,107.90/71,908.34 = 28,233.16/x
  3. Step 3: Cross multiply
    52,107.90x = 71,908.34 × 28,233.16
  4. Step 4: Simplify right side
    52,107.90x = 2,030,199,668.55
  5. Step 5: Solve for x
    x = 2,030,199,668.55/52,107.90
  6. Step 6: Final answer
    x = 38,961.46

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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.