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Finding the Fourth Proportional to 38,307.80, 52,863.70 and 23,209.40

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Solution

The fourth proportional to 38,307.80, 52,863.70 and 23,209.40 is: 32,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,307.80 : 52,863.70 = 23,209.40 : x
  2. Step 2: Convert to fraction form
    38,307.80/52,863.70 = 23,209.40/x
  3. Step 3: Cross multiply
    38,307.80x = 52,863.70 × 23,209.40
  4. Step 4: Simplify right side
    38,307.80x = 1,226,934,758.78
  5. Step 5: Solve for x
    x = 1,226,934,758.78/38,307.80
  6. Step 6: Final answer
    x = 32,028.33

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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.