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Finding the Fourth Proportional to 30,102.55, 45,155.99 and 10,380.82

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Solution

The fourth proportional to 30,102.55, 45,155.99 and 10,380.82 is: 15,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.55 : 45,155.99 = 10,380.82 : x
  2. Step 2: Convert to fraction form
    30,102.55/45,155.99 = 10,380.82/x
  3. Step 3: Cross multiply
    30,102.55x = 45,155.99 × 10,380.82
  4. Step 4: Simplify right side
    30,102.55x = 468,756,152.21
  5. Step 5: Solve for x
    x = 468,756,152.21/30,102.55
  6. Step 6: Final answer
    x = 15,571.98

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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.