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Finding the Fourth Proportional to 49,651, 68,576.88 and 32,854.84

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Solution

The fourth proportional to 49,651, 68,576.88 and 32,854.84 is: 45,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651 : 68,576.88 = 32,854.84 : x
  2. Step 2: Convert to fraction form
    49,651/68,576.88 = 32,854.84/x
  3. Step 3: Cross multiply
    49,651x = 68,576.88 × 32,854.84
  4. Step 4: Simplify right side
    49,651x = 2,253,082,420.10
  5. Step 5: Solve for x
    x = 2,253,082,420.10/49,651
  6. Step 6: Final answer
    x = 45,378.39

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1.5x scale

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.