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Finding the Fourth Proportional to 33,642.29, 50,463.41 and 9,950.14

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Solution

The fourth proportional to 33,642.29, 50,463.41 and 9,950.14 is: 14,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.29 : 50,463.41 = 9,950.14 : x
  2. Step 2: Convert to fraction form
    33,642.29/50,463.41 = 9,950.14/x
  3. Step 3: Cross multiply
    33,642.29x = 50,463.41 × 9,950.14
  4. Step 4: Simplify right side
    33,642.29x = 502,118,007.71
  5. Step 5: Solve for x
    x = 502,118,007.71/33,642.29
  6. Step 6: Final answer
    x = 14,925.20

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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.