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Finding the Fourth Proportional to 30,257.95, 45,387.25 and 9,201.42

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Solution

The fourth proportional to 30,257.95, 45,387.25 and 9,201.42 is: 13,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.95 : 45,387.25 = 9,201.42 : x
  2. Step 2: Convert to fraction form
    30,257.95/45,387.25 = 9,201.42/x
  3. Step 3: Cross multiply
    30,257.95x = 45,387.25 × 9,201.42
  4. Step 4: Simplify right side
    30,257.95x = 417,627,149.90
  5. Step 5: Solve for x
    x = 417,627,149.90/30,257.95
  6. Step 6: Final answer
    x = 13,802.23

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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.