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Finding the Fourth Proportional to 73,406.24, 110,110.01 and 29,033

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Solution

The fourth proportional to 73,406.24, 110,110.01 and 29,033 is: 43,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,406.24 : 110,110.01 = 29,033 : x
  2. Step 2: Convert to fraction form
    73,406.24/110,110.01 = 29,033/x
  3. Step 3: Cross multiply
    73,406.24x = 110,110.01 × 29,033
  4. Step 4: Simplify right side
    73,406.24x = 3,196,823,992.91
  5. Step 5: Solve for x
    x = 3,196,823,992.91/73,406.24
  6. Step 6: Final answer
    x = 43,549.76

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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.