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Finding the Fourth Proportional to 30,180.54, 45,270.81 and 10,459.09

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Solution

The fourth proportional to 30,180.54, 45,270.81 and 10,459.09 is: 15,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.54 : 45,270.81 = 10,459.09 : x
  2. Step 2: Convert to fraction form
    30,180.54/45,270.81 = 10,459.09/x
  3. Step 3: Cross multiply
    30,180.54x = 45,270.81 × 10,459.09
  4. Step 4: Simplify right side
    30,180.54x = 473,491,476.16
  5. Step 5: Solve for x
    x = 473,491,476.16/30,180.54
  6. Step 6: Final answer
    x = 15,688.64

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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.