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Finding the Fourth Proportional to 41,071.66, 56,677.52 and 23,166

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Solution

The fourth proportional to 41,071.66, 56,677.52 and 23,166 is: 31,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,071.66 : 56,677.52 = 23,166 : x
  2. Step 2: Convert to fraction form
    41,071.66/56,677.52 = 23,166/x
  3. Step 3: Cross multiply
    41,071.66x = 56,677.52 × 23,166
  4. Step 4: Simplify right side
    41,071.66x = 1,312,991,486.24
  5. Step 5: Solve for x
    x = 1,312,991,486.24/41,071.66
  6. Step 6: Final answer
    x = 31,968.31

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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.