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Finding the Fourth Proportional to 31,978.63, 44,147.81 and 19,234.66

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Solution

The fourth proportional to 31,978.63, 44,147.81 and 19,234.66 is: 26,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.63 : 44,147.81 = 19,234.66 : x
  2. Step 2: Convert to fraction form
    31,978.63/44,147.81 = 19,234.66/x
  3. Step 3: Cross multiply
    31,978.63x = 44,147.81 × 19,234.66
  4. Step 4: Simplify right side
    31,978.63x = 849,167,798.18
  5. Step 5: Solve for x
    x = 849,167,798.18/31,978.63
  6. Step 6: Final answer
    x = 26,554.23

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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.