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Finding the Fourth Proportional to 33,123.90, 49,653.45 and 16,470.30

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Solution

The fourth proportional to 33,123.90, 49,653.45 and 16,470.30 is: 24,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.90 : 49,653.45 = 16,470.30 : x
  2. Step 2: Convert to fraction form
    33,123.90/49,653.45 = 16,470.30/x
  3. Step 3: Cross multiply
    33,123.90x = 49,653.45 × 16,470.30
  4. Step 4: Simplify right side
    33,123.90x = 817,807,217.54
  5. Step 5: Solve for x
    x = 817,807,217.54/33,123.90
  6. Step 6: Final answer
    x = 24,689.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.