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Finding the Fourth Proportional to 27,967.16, 42,141.97 and 23,143.16

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Solution

The fourth proportional to 27,967.16, 42,141.97 and 23,143.16 is: 34,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.16 : 42,141.97 = 23,143.16 : x
  2. Step 2: Convert to fraction form
    27,967.16/42,141.97 = 23,143.16/x
  3. Step 3: Cross multiply
    27,967.16x = 42,141.97 × 23,143.16
  4. Step 4: Simplify right side
    27,967.16x = 975,298,354.43
  5. Step 5: Solve for x
    x = 975,298,354.43/27,967.16
  6. Step 6: Final answer
    x = 34,872.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.