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Finding the Fourth Proportional to 65,057.75, 89,779.70 and 35,249.75

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Solution

The fourth proportional to 65,057.75, 89,779.70 and 35,249.75 is: 48,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.75 : 89,779.70 = 35,249.75 : x
  2. Step 2: Convert to fraction form
    65,057.75/89,779.70 = 35,249.75/x
  3. Step 3: Cross multiply
    65,057.75x = 89,779.70 × 35,249.75
  4. Step 4: Simplify right side
    65,057.75x = 3,164,711,980.08
  5. Step 5: Solve for x
    x = 3,164,711,980.08/65,057.75
  6. Step 6: Final answer
    x = 48,644.66

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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.