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Finding the Fourth Proportional to 30,133.35, 45,205.70 and 12,122.93

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Solution

The fourth proportional to 30,133.35, 45,205.70 and 12,122.93 is: 18,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.35 : 45,205.70 = 12,122.93 : x
  2. Step 2: Convert to fraction form
    30,133.35/45,205.70 = 12,122.93/x
  3. Step 3: Cross multiply
    30,133.35x = 45,205.70 × 12,122.93
  4. Step 4: Simplify right side
    30,133.35x = 548,025,589.10
  5. Step 5: Solve for x
    x = 548,025,589.10/30,133.35
  6. Step 6: Final answer
    x = 18,186.68

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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.