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Finding the Fourth Proportional to 65,471.45, 98,250.21 and 35,910

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Solution

The fourth proportional to 65,471.45, 98,250.21 and 35,910 is: 53,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.45 : 98,250.21 = 35,910 : x
  2. Step 2: Convert to fraction form
    65,471.45/98,250.21 = 35,910/x
  3. Step 3: Cross multiply
    65,471.45x = 98,250.21 × 35,910
  4. Step 4: Simplify right side
    65,471.45x = 3,528,165,041.10
  5. Step 5: Solve for x
    x = 3,528,165,041.10/65,471.45
  6. Step 6: Final answer
    x = 53,888.61

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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.