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Finding the Fourth Proportional to 52,076.82, 78,118.89 and 25,774.50

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Solution

The fourth proportional to 52,076.82, 78,118.89 and 25,774.50 is: 38,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.82 : 78,118.89 = 25,774.50 : x
  2. Step 2: Convert to fraction form
    52,076.82/78,118.89 = 25,774.50/x
  3. Step 3: Cross multiply
    52,076.82x = 78,118.89 × 25,774.50
  4. Step 4: Simplify right side
    52,076.82x = 2,013,475,330.31
  5. Step 5: Solve for x
    x = 2,013,475,330.31/52,076.82
  6. Step 6: Final answer
    x = 38,663.56

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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.