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Finding the Fourth Proportional to 49,216.84, 73,773.42 and 24,541

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Solution

The fourth proportional to 49,216.84, 73,773.42 and 24,541 is: 36,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216.84 : 73,773.42 = 24,541 : x
  2. Step 2: Convert to fraction form
    49,216.84/73,773.42 = 24,541/x
  3. Step 3: Cross multiply
    49,216.84x = 73,773.42 × 24,541
  4. Step 4: Simplify right side
    49,216.84x = 1,810,473,500.22
  5. Step 5: Solve for x
    x = 1,810,473,500.22/49,216.84
  6. Step 6: Final answer
    x = 36,785.65

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1.5x scale

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.