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Finding the Fourth Proportional to 67,348.80, 101,013.60 and 22,977.60

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Solution

The fourth proportional to 67,348.80, 101,013.60 and 22,977.60 is: 34,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348.80 : 101,013.60 = 22,977.60 : x
  2. Step 2: Convert to fraction form
    67,348.80/101,013.60 = 22,977.60/x
  3. Step 3: Cross multiply
    67,348.80x = 101,013.60 × 22,977.60
  4. Step 4: Simplify right side
    67,348.80x = 2,321,050,095.36
  5. Step 5: Solve for x
    x = 2,321,050,095.36/67,348.80
  6. Step 6: Final answer
    x = 34,463.12

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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.