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Finding the Fourth Proportional to 27,967.66, 42,142.72 and 23,143.66

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Solution

The fourth proportional to 27,967.66, 42,142.72 and 23,143.66 is: 34,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.66 : 42,142.72 = 23,143.66 : x
  2. Step 2: Convert to fraction form
    27,967.66/42,142.72 = 23,143.66/x
  3. Step 3: Cross multiply
    27,967.66x = 42,142.72 × 23,143.66
  4. Step 4: Simplify right side
    27,967.66x = 975,336,783.16
  5. Step 5: Solve for x
    x = 975,336,783.16/27,967.66
  6. Step 6: Final answer
    x = 34,873.74

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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.