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Finding the Fourth Proportional to 23,952, 35,919.34 and 10,102.08

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Solution

The fourth proportional to 23,952, 35,919.34 and 10,102.08 is: 15,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 35,919.34 = 10,102.08 : x
  2. Step 2: Convert to fraction form
    23,952/35,919.34 = 10,102.08/x
  3. Step 3: Cross multiply
    23,952x = 35,919.34 × 10,102.08
  4. Step 4: Simplify right side
    23,952x = 362,860,046.23
  5. Step 5: Solve for x
    x = 362,860,046.23/23,952
  6. Step 6: Final answer
    x = 15,149.47

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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.