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Finding the Fourth Proportional to 31,611, 43,621.60 and 17,461.12

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Solution

The fourth proportional to 31,611, 43,621.60 and 17,461.12 is: 24,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611 : 43,621.60 = 17,461.12 : x
  2. Step 2: Convert to fraction form
    31,611/43,621.60 = 17,461.12/x
  3. Step 3: Cross multiply
    31,611x = 43,621.60 × 17,461.12
  4. Step 4: Simplify right side
    31,611x = 761,681,992.19
  5. Step 5: Solve for x
    x = 761,681,992.19/31,611
  6. Step 6: Final answer
    x = 24,095.47

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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.