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Finding the Fourth Proportional to 30,165.99, 45,249.78 and 11,442.54

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Solution

The fourth proportional to 30,165.99, 45,249.78 and 11,442.54 is: 17,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.99 : 45,249.78 = 11,442.54 : x
  2. Step 2: Convert to fraction form
    30,165.99/45,249.78 = 11,442.54/x
  3. Step 3: Cross multiply
    30,165.99x = 45,249.78 × 11,442.54
  4. Step 4: Simplify right side
    30,165.99x = 517,772,417.64
  5. Step 5: Solve for x
    x = 517,772,417.64/30,165.99
  6. Step 6: Final answer
    x = 17,164.11

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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.