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Finding the Fourth Proportional to 30,252.48, 45,383.40 and 9,474

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Solution

The fourth proportional to 30,252.48, 45,383.40 and 9,474 is: 14,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.48 : 45,383.40 = 9,474 : x
  2. Step 2: Convert to fraction form
    30,252.48/45,383.40 = 9,474/x
  3. Step 3: Cross multiply
    30,252.48x = 45,383.40 × 9,474
  4. Step 4: Simplify right side
    30,252.48x = 429,962,331.60
  5. Step 5: Solve for x
    x = 429,962,331.60/30,252.48
  6. Step 6: Final answer
    x = 14,212.47

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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.