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Finding the Fourth Proportional to 30,059.49, 45,099.60 and 13,431

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Solution

The fourth proportional to 30,059.49, 45,099.60 and 13,431 is: 20,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,059.49 : 45,099.60 = 13,431 : x
  2. Step 2: Convert to fraction form
    30,059.49/45,099.60 = 13,431/x
  3. Step 3: Cross multiply
    30,059.49x = 45,099.60 × 13,431
  4. Step 4: Simplify right side
    30,059.49x = 605,732,727.60
  5. Step 5: Solve for x
    x = 605,732,727.60/30,059.49
  6. Step 6: Final answer
    x = 20,151.13

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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.