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Finding the Fourth Proportional to 52,087.78, 71,881.32 and 28,214.38

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Solution

The fourth proportional to 52,087.78, 71,881.32 and 28,214.38 is: 38,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087.78 : 71,881.32 = 28,214.38 : x
  2. Step 2: Convert to fraction form
    52,087.78/71,881.32 = 28,214.38/x
  3. Step 3: Cross multiply
    52,087.78x = 71,881.32 × 28,214.38
  4. Step 4: Simplify right side
    52,087.78x = 2,028,086,877.38
  5. Step 5: Solve for x
    x = 2,028,086,877.38/52,087.78
  6. Step 6: Final answer
    x = 38,935.94

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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.