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Finding the Fourth Proportional to 23,654.52, 35,474.49 and 8,068.50

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Solution

The fourth proportional to 23,654.52, 35,474.49 and 8,068.50 is: 12,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.52 : 35,474.49 = 8,068.50 : x
  2. Step 2: Convert to fraction form
    23,654.52/35,474.49 = 8,068.50/x
  3. Step 3: Cross multiply
    23,654.52x = 35,474.49 × 8,068.50
  4. Step 4: Simplify right side
    23,654.52x = 286,225,922.57
  5. Step 5: Solve for x
    x = 286,225,922.57/23,654.52
  6. Step 6: Final answer
    x = 12,100.26

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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.