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Finding the Fourth Proportional to 52,094.34, 78,160.24 and 20,486.89

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Solution

The fourth proportional to 52,094.34, 78,160.24 and 20,486.89 is: 30,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094.34 : 78,160.24 = 20,486.89 : x
  2. Step 2: Convert to fraction form
    52,094.34/78,160.24 = 20,486.89/x
  3. Step 3: Cross multiply
    52,094.34x = 78,160.24 × 20,486.89
  4. Step 4: Simplify right side
    52,094.34x = 1,601,260,362.56
  5. Step 5: Solve for x
    x = 1,601,260,362.56/52,094.34
  6. Step 6: Final answer
    x = 30,737.70

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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.