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Finding the Fourth Proportional to 34,000.20, 46,815.30 and 28,265.40

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Solution

The fourth proportional to 34,000.20, 46,815.30 and 28,265.40 is: 38,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000.20 : 46,815.30 = 28,265.40 : x
  2. Step 2: Convert to fraction form
    34,000.20/46,815.30 = 28,265.40/x
  3. Step 3: Cross multiply
    34,000.20x = 46,815.30 × 28,265.40
  4. Step 4: Simplify right side
    34,000.20x = 1,323,253,180.62
  5. Step 5: Solve for x
    x = 1,323,253,180.62/34,000.20
  6. Step 6: Final answer
    x = 38,918.98

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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.