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Finding the Fourth Proportional to 52,102.50, 71,902.74 and 31,947.67

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Solution

The fourth proportional to 52,102.50, 71,902.74 and 31,947.67 is: 44,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.50 : 71,902.74 = 31,947.67 : x
  2. Step 2: Convert to fraction form
    52,102.50/71,902.74 = 31,947.67/x
  3. Step 3: Cross multiply
    52,102.50x = 71,902.74 × 31,947.67
  4. Step 4: Simplify right side
    52,102.50x = 2,297,125,009.62
  5. Step 5: Solve for x
    x = 2,297,125,009.62/52,102.50
  6. Step 6: Final answer
    x = 44,088.58

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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.