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Finding the Fourth Proportional to 65,826.96, 98,510.76 and 53,842.20

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Solution

The fourth proportional to 65,826.96, 98,510.76 and 53,842.20 is: 80,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826.96 : 98,510.76 = 53,842.20 : x
  2. Step 2: Convert to fraction form
    65,826.96/98,510.76 = 53,842.20/x
  3. Step 3: Cross multiply
    65,826.96x = 98,510.76 × 53,842.20
  4. Step 4: Simplify right side
    65,826.96x = 5,304,036,042.07
  5. Step 5: Solve for x
    x = 5,304,036,042.07/65,826.96
  6. Step 6: Final answer
    x = 80,575.44

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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.