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Finding the Fourth Proportional to 67,758.49, 101,653.88 and 23,385.63

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Solution

The fourth proportional to 67,758.49, 101,653.88 and 23,385.63 is: 35,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,758.49 : 101,653.88 = 23,385.63 : x
  2. Step 2: Convert to fraction form
    67,758.49/101,653.88 = 23,385.63/x
  3. Step 3: Cross multiply
    67,758.49x = 101,653.88 × 23,385.63
  4. Step 4: Simplify right side
    67,758.49x = 2,377,240,025.74
  5. Step 5: Solve for x
    x = 2,377,240,025.74/67,758.49
  6. Step 6: Final answer
    x = 35,084.02

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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.