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Finding the Fourth Proportional to 30,105, 45,168.36 and 16,050.24

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Solution

The fourth proportional to 30,105, 45,168.36 and 16,050.24 is: 24,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105 : 45,168.36 = 16,050.24 : x
  2. Step 2: Convert to fraction form
    30,105/45,168.36 = 16,050.24/x
  3. Step 3: Cross multiply
    30,105x = 45,168.36 × 16,050.24
  4. Step 4: Simplify right side
    30,105x = 724,963,018.41
  5. Step 5: Solve for x
    x = 724,963,018.41/30,105
  6. Step 6: Final answer
    x = 24,081.15

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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.