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Finding the Fourth Proportional to 75,544.48, 104,232.72 and 47,236

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Solution

The fourth proportional to 75,544.48, 104,232.72 and 47,236 is: 65,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,544.48 : 104,232.72 = 47,236 : x
  2. Step 2: Convert to fraction form
    75,544.48/104,232.72 = 47,236/x
  3. Step 3: Cross multiply
    75,544.48x = 104,232.72 × 47,236
  4. Step 4: Simplify right side
    75,544.48x = 4,923,536,761.92
  5. Step 5: Solve for x
    x = 4,923,536,761.92/75,544.48
  6. Step 6: Final answer
    x = 65,174.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.