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Finding the Fourth Proportional to 101,253.24, 151,836.12 and 38,880

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Solution

The fourth proportional to 101,253.24, 151,836.12 and 38,880 is: 58,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,253.24 : 151,836.12 = 38,880 : x
  2. Step 2: Convert to fraction form
    101,253.24/151,836.12 = 38,880/x
  3. Step 3: Cross multiply
    101,253.24x = 151,836.12 × 38,880
  4. Step 4: Simplify right side
    101,253.24x = 5,903,388,345.60
  5. Step 5: Solve for x
    x = 5,903,388,345.60/101,253.24
  6. Step 6: Final answer
    x = 58,303.20

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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.