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Finding the Fourth Proportional to 31,892.60, 44,007.14 and 19,143.08

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Solution

The fourth proportional to 31,892.60, 44,007.14 and 19,143.08 is: 26,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.60 : 44,007.14 = 19,143.08 : x
  2. Step 2: Convert to fraction form
    31,892.60/44,007.14 = 19,143.08/x
  3. Step 3: Cross multiply
    31,892.60x = 44,007.14 × 19,143.08
  4. Step 4: Simplify right side
    31,892.60x = 842,431,885.84
  5. Step 5: Solve for x
    x = 842,431,885.84/31,892.60
  6. Step 6: Final answer
    x = 26,414.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.