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Finding the Fourth Proportional to 30,174.93, 45,262.22 and 16,411.41

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Solution

The fourth proportional to 30,174.93, 45,262.22 and 16,411.41 is: 24,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.93 : 45,262.22 = 16,411.41 : x
  2. Step 2: Convert to fraction form
    30,174.93/45,262.22 = 16,411.41/x
  3. Step 3: Cross multiply
    30,174.93x = 45,262.22 × 16,411.41
  4. Step 4: Simplify right side
    30,174.93x = 742,816,767.87
  5. Step 5: Solve for x
    x = 742,816,767.87/30,174.93
  6. Step 6: Final answer
    x = 24,617.02

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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.