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Finding the Fourth Proportional to 31,405.72, 47,108.54 and 8,032.16

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Solution

The fourth proportional to 31,405.72, 47,108.54 and 8,032.16 is: 12,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.72 : 47,108.54 = 8,032.16 : x
  2. Step 2: Convert to fraction form
    31,405.72/47,108.54 = 8,032.16/x
  3. Step 3: Cross multiply
    31,405.72x = 47,108.54 × 8,032.16
  4. Step 4: Simplify right side
    31,405.72x = 378,383,330.65
  5. Step 5: Solve for x
    x = 378,383,330.65/31,405.72
  6. Step 6: Final answer
    x = 12,048.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.