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Finding the Fourth Proportional to 30,200.16, 45,287.49 and 10,469.82

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Solution

The fourth proportional to 30,200.16, 45,287.49 and 10,469.82 is: 15,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.16 : 45,287.49 = 10,469.82 : x
  2. Step 2: Convert to fraction form
    30,200.16/45,287.49 = 10,469.82/x
  3. Step 3: Cross multiply
    30,200.16x = 45,287.49 × 10,469.82
  4. Step 4: Simplify right side
    30,200.16x = 474,151,868.55
  5. Step 5: Solve for x
    x = 474,151,868.55/30,200.16
  6. Step 6: Final answer
    x = 15,700.31

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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.