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Finding the Fourth Proportional to 52,117.50, 71,981.55 and 35,321.34

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Solution

The fourth proportional to 52,117.50, 71,981.55 and 35,321.34 is: 48,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.50 : 71,981.55 = 35,321.34 : x
  2. Step 2: Convert to fraction form
    52,117.50/71,981.55 = 35,321.34/x
  3. Step 3: Cross multiply
    52,117.50x = 71,981.55 × 35,321.34
  4. Step 4: Simplify right side
    52,117.50x = 2,542,484,801.28
  5. Step 5: Solve for x
    x = 2,542,484,801.28/52,117.50
  6. Step 6: Final answer
    x = 48,783.71

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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.