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Finding the Fourth Proportional to 23,903, 35,854.50 and 10,052

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Solution

The fourth proportional to 23,903, 35,854.50 and 10,052 is: 15,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903 : 35,854.50 = 10,052 : x
  2. Step 2: Convert to fraction form
    23,903/35,854.50 = 10,052/x
  3. Step 3: Cross multiply
    23,903x = 35,854.50 × 10,052
  4. Step 4: Simplify right side
    23,903x = 360,409,434
  5. Step 5: Solve for x
    x = 360,409,434/23,903
  6. Step 6: Final answer
    x = 15,078

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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.