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Finding the Fourth Proportional to 31,901.96, 44,024.34 and 17,756.36

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Solution

The fourth proportional to 31,901.96, 44,024.34 and 17,756.36 is: 24,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.96 : 44,024.34 = 17,756.36 : x
  2. Step 2: Convert to fraction form
    31,901.96/44,024.34 = 17,756.36/x
  3. Step 3: Cross multiply
    31,901.96x = 44,024.34 × 17,756.36
  4. Step 4: Simplify right side
    31,901.96x = 781,712,029.80
  5. Step 5: Solve for x
    x = 781,712,029.80/31,901.96
  6. Step 6: Final answer
    x = 24,503.57

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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.