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Finding the Fourth Proportional to 80,947, 111,777.34 and 50,784.16

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Solution

The fourth proportional to 80,947, 111,777.34 and 50,784.16 is: 70,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,947 : 111,777.34 = 50,784.16 : x
  2. Step 2: Convert to fraction form
    80,947/111,777.34 = 50,784.16/x
  3. Step 3: Cross multiply
    80,947x = 111,777.34 × 50,784.16
  4. Step 4: Simplify right side
    80,947x = 5,676,518,318.93
  5. Step 5: Solve for x
    x = 5,676,518,318.93/80,947
  6. Step 6: Final answer
    x = 70,126.36

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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.