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Finding the Fourth Proportional to 49,219, 67,922.58 and 26,863

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Solution

The fourth proportional to 49,219, 67,922.58 and 26,863 is: 37,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219 : 67,922.58 = 26,863 : x
  2. Step 2: Convert to fraction form
    49,219/67,922.58 = 26,863/x
  3. Step 3: Cross multiply
    49,219x = 67,922.58 × 26,863
  4. Step 4: Simplify right side
    49,219x = 1,824,604,266.54
  5. Step 5: Solve for x
    x = 1,824,604,266.54/49,219
  6. Step 6: Final answer
    x = 37,071.14

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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.