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Finding the Fourth Proportional to 23,899, 35,848.50 and 10,048

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Solution

The fourth proportional to 23,899, 35,848.50 and 10,048 is: 15,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899 : 35,848.50 = 10,048 : x
  2. Step 2: Convert to fraction form
    23,899/35,848.50 = 10,048/x
  3. Step 3: Cross multiply
    23,899x = 35,848.50 × 10,048
  4. Step 4: Simplify right side
    23,899x = 360,205,728
  5. Step 5: Solve for x
    x = 360,205,728/23,899
  6. Step 6: Final answer
    x = 15,072

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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.