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Finding the Fourth Proportional to 67,894.32, 101,817.18 and 23,509.16

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Solution

The fourth proportional to 67,894.32, 101,817.18 and 23,509.16 is: 35,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894.32 : 101,817.18 = 23,509.16 : x
  2. Step 2: Convert to fraction form
    67,894.32/101,817.18 = 23,509.16/x
  3. Step 3: Cross multiply
    67,894.32x = 101,817.18 × 23,509.16
  4. Step 4: Simplify right side
    67,894.32x = 2,393,636,375.37
  5. Step 5: Solve for x
    x = 2,393,636,375.37/67,894.32
  6. Step 6: Final answer
    x = 35,255.33

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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.