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Finding the Fourth Proportional to 29,465.66, 44,191.74 and 8,405.30

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Solution

The fourth proportional to 29,465.66, 44,191.74 and 8,405.30 is: 12,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.66 : 44,191.74 = 8,405.30 : x
  2. Step 2: Convert to fraction form
    29,465.66/44,191.74 = 8,405.30/x
  3. Step 3: Cross multiply
    29,465.66x = 44,191.74 × 8,405.30
  4. Step 4: Simplify right side
    29,465.66x = 371,444,832.22
  5. Step 5: Solve for x
    x = 371,444,832.22/29,465.66
  6. Step 6: Final answer
    x = 12,606.02

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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.