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Finding the Fourth Proportional to 29,466.66, 44,193.24 and 8,406.30

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Solution

The fourth proportional to 29,466.66, 44,193.24 and 8,406.30 is: 12,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466.66 : 44,193.24 = 8,406.30 : x
  2. Step 2: Convert to fraction form
    29,466.66/44,193.24 = 8,406.30/x
  3. Step 3: Cross multiply
    29,466.66x = 44,193.24 × 8,406.30
  4. Step 4: Simplify right side
    29,466.66x = 371,501,633.41
  5. Step 5: Solve for x
    x = 371,501,633.41/29,466.66
  6. Step 6: Final answer
    x = 12,607.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.