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Finding the Fourth Proportional to 33,214, 45,831.66 and 19,783.42

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Solution

The fourth proportional to 33,214, 45,831.66 and 19,783.42 is: 27,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214 : 45,831.66 = 19,783.42 : x
  2. Step 2: Convert to fraction form
    33,214/45,831.66 = 19,783.42/x
  3. Step 3: Cross multiply
    33,214x = 45,831.66 × 19,783.42
  4. Step 4: Simplify right side
    33,214x = 906,706,979.08
  5. Step 5: Solve for x
    x = 906,706,979.08/33,214
  6. Step 6: Final answer
    x = 27,298.94

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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.