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Finding the Fourth Proportional to 47,382.32, 65,388.11 and 26,161.54

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Solution

The fourth proportional to 47,382.32, 65,388.11 and 26,161.54 is: 36,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.32 : 65,388.11 = 26,161.54 : x
  2. Step 2: Convert to fraction form
    47,382.32/65,388.11 = 26,161.54/x
  3. Step 3: Cross multiply
    47,382.32x = 65,388.11 × 26,161.54
  4. Step 4: Simplify right side
    47,382.32x = 1,710,653,361.01
  5. Step 5: Solve for x
    x = 1,710,653,361.01/47,382.32
  6. Step 6: Final answer
    x = 36,103.20

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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.