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Finding the Fourth Proportional to 33,215, 45,833.04 and 19,784.42

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Solution

The fourth proportional to 33,215, 45,833.04 and 19,784.42 is: 27,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215 : 45,833.04 = 19,784.42 : x
  2. Step 2: Convert to fraction form
    33,215/45,833.04 = 19,784.42/x
  3. Step 3: Cross multiply
    33,215x = 45,833.04 × 19,784.42
  4. Step 4: Simplify right side
    33,215x = 906,780,113.24
  5. Step 5: Solve for x
    x = 906,780,113.24/33,215
  6. Step 6: Final answer
    x = 27,300.32

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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.