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Finding the Fourth Proportional to 30,007.20, 45,006.84 and 7,822.08

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Solution

The fourth proportional to 30,007.20, 45,006.84 and 7,822.08 is: 11,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.20 : 45,006.84 = 7,822.08 : x
  2. Step 2: Convert to fraction form
    30,007.20/45,006.84 = 7,822.08/x
  3. Step 3: Cross multiply
    30,007.20x = 45,006.84 × 7,822.08
  4. Step 4: Simplify right side
    30,007.20x = 352,047,103.03
  5. Step 5: Solve for x
    x = 352,047,103.03/30,007.20
  6. Step 6: Final answer
    x = 11,732.09

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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.