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Finding the Fourth Proportional to 30,133.54, 45,205.53 and 10,141.12

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Solution

The fourth proportional to 30,133.54, 45,205.53 and 10,141.12 is: 15,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.54 : 45,205.53 = 10,141.12 : x
  2. Step 2: Convert to fraction form
    30,133.54/45,205.53 = 10,141.12/x
  3. Step 3: Cross multiply
    30,133.54x = 45,205.53 × 10,141.12
  4. Step 4: Simplify right side
    30,133.54x = 458,434,704.39
  5. Step 5: Solve for x
    x = 458,434,704.39/30,133.54
  6. Step 6: Final answer
    x = 15,213.44

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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.