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Finding the Fourth Proportional to 80,784, 111,490.56 and 47,278.08

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Solution

The fourth proportional to 80,784, 111,490.56 and 47,278.08 is: 65,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 111,490.56 = 47,278.08 : x
  2. Step 2: Convert to fraction form
    80,784/111,490.56 = 47,278.08/x
  3. Step 3: Cross multiply
    80,784x = 111,490.56 × 47,278.08
  4. Step 4: Simplify right side
    80,784x = 5,271,059,614.92
  5. Step 5: Solve for x
    x = 5,271,059,614.92/80,784
  6. Step 6: Final answer
    x = 65,248.81

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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.