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Finding the Fourth Proportional to 65,760, 90,750.24 and 35,952

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Solution

The fourth proportional to 65,760, 90,750.24 and 35,952 is: 49,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,760 : 90,750.24 = 35,952 : x
  2. Step 2: Convert to fraction form
    65,760/90,750.24 = 35,952/x
  3. Step 3: Cross multiply
    65,760x = 90,750.24 × 35,952
  4. Step 4: Simplify right side
    65,760x = 3,262,652,628.48
  5. Step 5: Solve for x
    x = 3,262,652,628.48/65,760
  6. Step 6: Final answer
    x = 49,614.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.