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Finding the Fourth Proportional to 65,872.78, 98,827.67 and 26,457.57

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Solution

The fourth proportional to 65,872.78, 98,827.67 and 26,457.57 is: 39,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.78 : 98,827.67 = 26,457.57 : x
  2. Step 2: Convert to fraction form
    65,872.78/98,827.67 = 26,457.57/x
  3. Step 3: Cross multiply
    65,872.78x = 98,827.67 × 26,457.57
  4. Step 4: Simplify right side
    65,872.78x = 2,614,739,996.96
  5. Step 5: Solve for x
    x = 2,614,739,996.96/65,872.78
  6. Step 6: Final answer
    x = 39,693.79

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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.