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Finding the Fourth Proportional to 33,470.40, 46,184 and 19,320.50

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Solution

The fourth proportional to 33,470.40, 46,184 and 19,320.50 is: 26,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,470.40 : 46,184 = 19,320.50 : x
  2. Step 2: Convert to fraction form
    33,470.40/46,184 = 19,320.50/x
  3. Step 3: Cross multiply
    33,470.40x = 46,184 × 19,320.50
  4. Step 4: Simplify right side
    33,470.40x = 892,297,972
  5. Step 5: Solve for x
    x = 892,297,972/33,470.40
  6. Step 6: Final answer
    x = 26,659.32

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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.