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Finding the Fourth Proportional to 49,133.66, 67,804.12 and 27,912.93

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Solution

The fourth proportional to 49,133.66, 67,804.12 and 27,912.93 is: 38,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133.66 : 67,804.12 = 27,912.93 : x
  2. Step 2: Convert to fraction form
    49,133.66/67,804.12 = 27,912.93/x
  3. Step 3: Cross multiply
    49,133.66x = 67,804.12 × 27,912.93
  4. Step 4: Simplify right side
    49,133.66x = 1,892,611,515.71
  5. Step 5: Solve for x
    x = 1,892,611,515.71/49,133.66
  6. Step 6: Final answer
    x = 38,519.65

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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.