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Finding the Fourth Proportional to 43,404, 65,112.50 and 15,708.48

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Solution

The fourth proportional to 43,404, 65,112.50 and 15,708.48 is: 23,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,404 : 65,112.50 = 15,708.48 : x
  2. Step 2: Convert to fraction form
    43,404/65,112.50 = 15,708.48/x
  3. Step 3: Cross multiply
    43,404x = 65,112.50 × 15,708.48
  4. Step 4: Simplify right side
    43,404x = 1,022,818,404
  5. Step 5: Solve for x
    x = 1,022,818,404/43,404
  6. Step 6: Final answer
    x = 23,565.07

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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.