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Finding the Fourth Proportional to 49,153, 67,832.74 and 26,798.44

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Solution

The fourth proportional to 49,153, 67,832.74 and 26,798.44 is: 36,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,153 : 67,832.74 = 26,798.44 : x
  2. Step 2: Convert to fraction form
    49,153/67,832.74 = 26,798.44/x
  3. Step 3: Cross multiply
    49,153x = 67,832.74 × 26,798.44
  4. Step 4: Simplify right side
    49,153x = 1,817,811,612.93
  5. Step 5: Solve for x
    x = 1,817,811,612.93/49,153
  6. Step 6: Final answer
    x = 36,982.72

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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.