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Finding the Fourth Proportional to 52,053.17, 78,083.17 and 20,884.37

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Solution

The fourth proportional to 52,053.17, 78,083.17 and 20,884.37 is: 31,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.17 : 78,083.17 = 20,884.37 : x
  2. Step 2: Convert to fraction form
    52,053.17/78,083.17 = 20,884.37/x
  3. Step 3: Cross multiply
    52,053.17x = 78,083.17 × 20,884.37
  4. Step 4: Simplify right side
    52,053.17x = 1,630,717,370.43
  5. Step 5: Solve for x
    x = 1,630,717,370.43/52,053.17
  6. Step 6: Final answer
    x = 31,327.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.