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Finding the Fourth Proportional to 52,101.82, 71,892.39 and 30,877.66

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Solution

The fourth proportional to 52,101.82, 71,892.39 and 30,877.66 is: 42,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.82 : 71,892.39 = 30,877.66 : x
  2. Step 2: Convert to fraction form
    52,101.82/71,892.39 = 30,877.66/x
  3. Step 3: Cross multiply
    52,101.82x = 71,892.39 × 30,877.66
  4. Step 4: Simplify right side
    52,101.82x = 2,219,868,775.01
  5. Step 5: Solve for x
    x = 2,219,868,775.01/52,101.82
  6. Step 6: Final answer
    x = 42,606.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.