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Finding the Fourth Proportional to 74,476.75, 102,865.67 and 49,282.51

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Solution

The fourth proportional to 74,476.75, 102,865.67 and 49,282.51 is: 68,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,476.75 : 102,865.67 = 49,282.51 : x
  2. Step 2: Convert to fraction form
    74,476.75/102,865.67 = 49,282.51/x
  3. Step 3: Cross multiply
    74,476.75x = 102,865.67 × 49,282.51
  4. Step 4: Simplify right side
    74,476.75x = 5,069,478,164.02
  5. Step 5: Solve for x
    x = 5,069,478,164.02/74,476.75
  6. Step 6: Final answer
    x = 68,067.93

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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.