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Finding the Fourth Proportional to 49,390.81, 68,159.53 and 27,880.76

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Solution

The fourth proportional to 49,390.81, 68,159.53 and 27,880.76 is: 38,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390.81 : 68,159.53 = 27,880.76 : x
  2. Step 2: Convert to fraction form
    49,390.81/68,159.53 = 27,880.76/x
  3. Step 3: Cross multiply
    49,390.81x = 68,159.53 × 27,880.76
  4. Step 4: Simplify right side
    49,390.81x = 1,900,339,162.67
  5. Step 5: Solve for x
    x = 1,900,339,162.67/49,390.81
  6. Step 6: Final answer
    x = 38,475.56

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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.