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Finding the Fourth Proportional to 29,407.74, 44,111.82 and 7,221.30

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Solution

The fourth proportional to 29,407.74, 44,111.82 and 7,221.30 is: 10,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,407.74 : 44,111.82 = 7,221.30 : x
  2. Step 2: Convert to fraction form
    29,407.74/44,111.82 = 7,221.30/x
  3. Step 3: Cross multiply
    29,407.74x = 44,111.82 × 7,221.30
  4. Step 4: Simplify right side
    29,407.74x = 318,544,685.77
  5. Step 5: Solve for x
    x = 318,544,685.77/29,407.74
  6. Step 6: Final answer
    x = 10,832.00

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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.