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Finding the Fourth Proportional to 30,021, 45,032.12 and 9,244.50

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Solution

The fourth proportional to 30,021, 45,032.12 and 9,244.50 is: 13,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021 : 45,032.12 = 9,244.50 : x
  2. Step 2: Convert to fraction form
    30,021/45,032.12 = 9,244.50/x
  3. Step 3: Cross multiply
    30,021x = 45,032.12 × 9,244.50
  4. Step 4: Simplify right side
    30,021x = 416,299,387.12
  5. Step 5: Solve for x
    x = 416,299,387.12/30,021
  6. Step 6: Final answer
    x = 13,866.94

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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.