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Finding the Fourth Proportional to 33,578.80, 46,335.10 and 19,429

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Solution

The fourth proportional to 33,578.80, 46,335.10 and 19,429 is: 26,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.80 : 46,335.10 = 19,429 : x
  2. Step 2: Convert to fraction form
    33,578.80/46,335.10 = 19,429/x
  3. Step 3: Cross multiply
    33,578.80x = 46,335.10 × 19,429
  4. Step 4: Simplify right side
    33,578.80x = 900,244,657.90
  5. Step 5: Solve for x
    x = 900,244,657.90/33,578.80
  6. Step 6: Final answer
    x = 26,809.91

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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.