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Finding the Fourth Proportional to 49,036, 67,670.76 and 26,680

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Solution

The fourth proportional to 49,036, 67,670.76 and 26,680 is: 36,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,036 : 67,670.76 = 26,680 : x
  2. Step 2: Convert to fraction form
    49,036/67,670.76 = 26,680/x
  3. Step 3: Cross multiply
    49,036x = 67,670.76 × 26,680
  4. Step 4: Simplify right side
    49,036x = 1,805,455,876.80
  5. Step 5: Solve for x
    x = 1,805,455,876.80/49,036
  6. Step 6: Final answer
    x = 36,818.99

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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.