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Finding the Fourth Proportional to 30,200.40, 45,268.20 and 11,473.20

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Solution

The fourth proportional to 30,200.40, 45,268.20 and 11,473.20 is: 17,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.40 : 45,268.20 = 11,473.20 : x
  2. Step 2: Convert to fraction form
    30,200.40/45,268.20 = 11,473.20/x
  3. Step 3: Cross multiply
    30,200.40x = 45,268.20 × 11,473.20
  4. Step 4: Simplify right side
    30,200.40x = 519,371,112.24
  5. Step 5: Solve for x
    x = 519,371,112.24/30,200.40
  6. Step 6: Final answer
    x = 17,197.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.