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Finding the Fourth Proportional to 65,260.75, 97,879.38 and 29,713.60

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Solution

The fourth proportional to 65,260.75, 97,879.38 and 29,713.60 is: 44,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.75 : 97,879.38 = 29,713.60 : x
  2. Step 2: Convert to fraction form
    65,260.75/97,879.38 = 29,713.60/x
  3. Step 3: Cross multiply
    65,260.75x = 97,879.38 × 29,713.60
  4. Step 4: Simplify right side
    65,260.75x = 2,908,348,745.57
  5. Step 5: Solve for x
    x = 2,908,348,745.57/65,260.75
  6. Step 6: Final answer
    x = 44,565.05

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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.