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Finding the Fourth Proportional to 33,663.84, 50,490.30 and 15,894.47

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Solution

The fourth proportional to 33,663.84, 50,490.30 and 15,894.47 is: 23,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,663.84 : 50,490.30 = 15,894.47 : x
  2. Step 2: Convert to fraction form
    33,663.84/50,490.30 = 15,894.47/x
  3. Step 3: Cross multiply
    33,663.84x = 50,490.30 × 15,894.47
  4. Step 4: Simplify right side
    33,663.84x = 802,516,457.02
  5. Step 5: Solve for x
    x = 802,516,457.02/33,663.84
  6. Step 6: Final answer
    x = 23,839.12

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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.