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Finding the Fourth Proportional to 80,415, 110,972.79 and 46,887.48

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Solution

The fourth proportional to 80,415, 110,972.79 and 46,887.48 is: 64,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415 : 110,972.79 = 46,887.48 : x
  2. Step 2: Convert to fraction form
    80,415/110,972.79 = 46,887.48/x
  3. Step 3: Cross multiply
    80,415x = 110,972.79 × 46,887.48
  4. Step 4: Simplify right side
    80,415x = 5,203,234,471.67
  5. Step 5: Solve for x
    x = 5,203,234,471.67/80,415
  6. Step 6: Final answer
    x = 64,704.77

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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.