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Finding the Fourth Proportional to 40,689, 56,146.10 and 23,696.96

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Solution

The fourth proportional to 40,689, 56,146.10 and 23,696.96 is: 32,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 56,146.10 = 23,696.96 : x
  2. Step 2: Convert to fraction form
    40,689/56,146.10 = 23,696.96/x
  3. Step 3: Cross multiply
    40,689x = 56,146.10 × 23,696.96
  4. Step 4: Simplify right side
    40,689x = 1,330,491,486.64
  5. Step 5: Solve for x
    x = 1,330,491,486.64/40,689
  6. Step 6: Final answer
    x = 32,699.05

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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.