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Finding the Fourth Proportional to 23,875.52, 35,791.02 and 8,069.50

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Solution

The fourth proportional to 23,875.52, 35,791.02 and 8,069.50 is: 12,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.52 : 35,791.02 = 8,069.50 : x
  2. Step 2: Convert to fraction form
    23,875.52/35,791.02 = 8,069.50/x
  3. Step 3: Cross multiply
    23,875.52x = 35,791.02 × 8,069.50
  4. Step 4: Simplify right side
    23,875.52x = 288,815,416.59
  5. Step 5: Solve for x
    x = 288,815,416.59/23,875.52
  6. Step 6: Final answer
    x = 12,096.72

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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.