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Finding the Fourth Proportional to 49,102, 67,760.76 and 26,746

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Solution

The fourth proportional to 49,102, 67,760.76 and 26,746 is: 36,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102 : 67,760.76 = 26,746 : x
  2. Step 2: Convert to fraction form
    49,102/67,760.76 = 26,746/x
  3. Step 3: Cross multiply
    49,102x = 67,760.76 × 26,746
  4. Step 4: Simplify right side
    49,102x = 1,812,329,286.96
  5. Step 5: Solve for x
    x = 1,812,329,286.96/49,102
  6. Step 6: Final answer
    x = 36,909.48

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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.