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Finding the Fourth Proportional to 33,316.43, 49,974 and 13,590.29

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Solution

The fourth proportional to 33,316.43, 49,974 and 13,590.29 is: 20,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316.43 : 49,974 = 13,590.29 : x
  2. Step 2: Convert to fraction form
    33,316.43/49,974 = 13,590.29/x
  3. Step 3: Cross multiply
    33,316.43x = 49,974 × 13,590.29
  4. Step 4: Simplify right side
    33,316.43x = 679,161,152.46
  5. Step 5: Solve for x
    x = 679,161,152.46/33,316.43
  6. Step 6: Final answer
    x = 20,385.17

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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.