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Finding the Fourth Proportional to 65,862.52, 98,793.84 and 30,826.78

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Solution

The fourth proportional to 65,862.52, 98,793.84 and 30,826.78 is: 46,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862.52 : 98,793.84 = 30,826.78 : x
  2. Step 2: Convert to fraction form
    65,862.52/98,793.84 = 30,826.78/x
  3. Step 3: Cross multiply
    65,862.52x = 98,793.84 × 30,826.78
  4. Step 4: Simplify right side
    65,862.52x = 3,045,495,839.65
  5. Step 5: Solve for x
    x = 3,045,495,839.65/65,862.52
  6. Step 6: Final answer
    x = 46,240.20

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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.