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Finding the Fourth Proportional to 31,985.63, 44,140.16 and 17,838.17

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Solution

The fourth proportional to 31,985.63, 44,140.16 and 17,838.17 is: 24,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.63 : 44,140.16 = 17,838.17 : x
  2. Step 2: Convert to fraction form
    31,985.63/44,140.16 = 17,838.17/x
  3. Step 3: Cross multiply
    31,985.63x = 44,140.16 × 17,838.17
  4. Step 4: Simplify right side
    31,985.63x = 787,379,501.80
  5. Step 5: Solve for x
    x = 787,379,501.80/31,985.63
  6. Step 6: Final answer
    x = 24,616.67

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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.