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Finding the Fourth Proportional to 38,569.80, 57,768.30 and 23,017.80

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Solution

The fourth proportional to 38,569.80, 57,768.30 and 23,017.80 is: 34,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.80 : 57,768.30 = 23,017.80 : x
  2. Step 2: Convert to fraction form
    38,569.80/57,768.30 = 23,017.80/x
  3. Step 3: Cross multiply
    38,569.80x = 57,768.30 × 23,017.80
  4. Step 4: Simplify right side
    38,569.80x = 1,329,699,175.74
  5. Step 5: Solve for x
    x = 1,329,699,175.74/38,569.80
  6. Step 6: Final answer
    x = 34,475.14

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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.