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Finding the Fourth Proportional to 49,626.93, 68,483.96 and 27,821.76

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Solution

The fourth proportional to 49,626.93, 68,483.96 and 27,821.76 is: 38,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,626.93 : 68,483.96 = 27,821.76 : x
  2. Step 2: Convert to fraction form
    49,626.93/68,483.96 = 27,821.76/x
  3. Step 3: Cross multiply
    49,626.93x = 68,483.96 × 27,821.76
  4. Step 4: Simplify right side
    49,626.93x = 1,905,344,199.99
  5. Step 5: Solve for x
    x = 1,905,344,199.99/49,626.93
  6. Step 6: Final answer
    x = 38,393.35

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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.