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Finding the Fourth Proportional to 33,647.84, 46,434.02 and 19,508.88

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Solution

The fourth proportional to 33,647.84, 46,434.02 and 19,508.88 is: 26,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.84 : 46,434.02 = 19,508.88 : x
  2. Step 2: Convert to fraction form
    33,647.84/46,434.02 = 19,508.88/x
  3. Step 3: Cross multiply
    33,647.84x = 46,434.02 × 19,508.88
  4. Step 4: Simplify right side
    33,647.84x = 905,875,724.10
  5. Step 5: Solve for x
    x = 905,875,724.10/33,647.84
  6. Step 6: Final answer
    x = 26,922.25

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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.