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Finding the Fourth Proportional to 31,970.61, 44,101.35 and 20,013.18

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Solution

The fourth proportional to 31,970.61, 44,101.35 and 20,013.18 is: 27,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.61 : 44,101.35 = 20,013.18 : x
  2. Step 2: Convert to fraction form
    31,970.61/44,101.35 = 20,013.18/x
  3. Step 3: Cross multiply
    31,970.61x = 44,101.35 × 20,013.18
  4. Step 4: Simplify right side
    31,970.61x = 882,608,255.79
  5. Step 5: Solve for x
    x = 882,608,255.79/31,970.61
  6. Step 6: Final answer
    x = 27,606.86

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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.