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Finding the Fourth Proportional to 65,710.88, 98,583.60 and 30,632.48

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Solution

The fourth proportional to 65,710.88, 98,583.60 and 30,632.48 is: 45,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.88 : 98,583.60 = 30,632.48 : x
  2. Step 2: Convert to fraction form
    65,710.88/98,583.60 = 30,632.48/x
  3. Step 3: Cross multiply
    65,710.88x = 98,583.60 × 30,632.48
  4. Step 4: Simplify right side
    65,710.88x = 3,019,860,155.33
  5. Step 5: Solve for x
    x = 3,019,860,155.33/65,710.88
  6. Step 6: Final answer
    x = 45,956.78

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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.