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Finding the Fourth Proportional to 38,265.90, 52,681.77 and 30,184.80

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Solution

The fourth proportional to 38,265.90, 52,681.77 and 30,184.80 is: 41,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.90 : 52,681.77 = 30,184.80 : x
  2. Step 2: Convert to fraction form
    38,265.90/52,681.77 = 30,184.80/x
  3. Step 3: Cross multiply
    38,265.90x = 52,681.77 × 30,184.80
  4. Step 4: Simplify right side
    38,265.90x = 1,590,188,691.10
  5. Step 5: Solve for x
    x = 1,590,188,691.10/38,265.90
  6. Step 6: Final answer
    x = 41,556.29

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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.