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Finding the Fourth Proportional to 40,310.88, 55,633.14 and 23,316

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Solution

The fourth proportional to 40,310.88, 55,633.14 and 23,316 is: 32,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,310.88 : 55,633.14 = 23,316 : x
  2. Step 2: Convert to fraction form
    40,310.88/55,633.14 = 23,316/x
  3. Step 3: Cross multiply
    40,310.88x = 55,633.14 × 23,316
  4. Step 4: Simplify right side
    40,310.88x = 1,297,142,292.24
  5. Step 5: Solve for x
    x = 1,297,142,292.24/40,310.88
  6. Step 6: Final answer
    x = 32,178.47

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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.