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Finding the Fourth Proportional to 30,132.54, 45,204.03 and 10,140.12

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Solution

The fourth proportional to 30,132.54, 45,204.03 and 10,140.12 is: 15,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.54 : 45,204.03 = 10,140.12 : x
  2. Step 2: Convert to fraction form
    30,132.54/45,204.03 = 10,140.12/x
  3. Step 3: Cross multiply
    30,132.54x = 45,204.03 × 10,140.12
  4. Step 4: Simplify right side
    30,132.54x = 458,374,288.68
  5. Step 5: Solve for x
    x = 458,374,288.68/30,132.54
  6. Step 6: Final answer
    x = 15,211.94

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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.