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Finding the Fourth Proportional to 38,696.62, 58,042.50 and 23,102.50

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Solution

The fourth proportional to 38,696.62, 58,042.50 and 23,102.50 is: 34,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.62 : 58,042.50 = 23,102.50 : x
  2. Step 2: Convert to fraction form
    38,696.62/58,042.50 = 23,102.50/x
  3. Step 3: Cross multiply
    38,696.62x = 58,042.50 × 23,102.50
  4. Step 4: Simplify right side
    38,696.62x = 1,340,926,856.25
  5. Step 5: Solve for x
    x = 1,340,926,856.25/38,696.62
  6. Step 6: Final answer
    x = 34,652.30

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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.