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Finding the Fourth Proportional to 31,978.37, 44,129.54 and 17,639.55

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Solution

The fourth proportional to 31,978.37, 44,129.54 and 17,639.55 is: 24,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.37 : 44,129.54 = 17,639.55 : x
  2. Step 2: Convert to fraction form
    31,978.37/44,129.54 = 17,639.55/x
  3. Step 3: Cross multiply
    31,978.37x = 44,129.54 × 17,639.55
  4. Step 4: Simplify right side
    31,978.37x = 778,425,227.31
  5. Step 5: Solve for x
    x = 778,425,227.31/31,978.37
  6. Step 6: Final answer
    x = 24,342.24

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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.