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Finding the Fourth Proportional to 29,134.68, 43,702.02 and 11,604.66

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Solution

The fourth proportional to 29,134.68, 43,702.02 and 11,604.66 is: 17,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134.68 : 43,702.02 = 11,604.66 : x
  2. Step 2: Convert to fraction form
    29,134.68/43,702.02 = 11,604.66/x
  3. Step 3: Cross multiply
    29,134.68x = 43,702.02 × 11,604.66
  4. Step 4: Simplify right side
    29,134.68x = 507,147,083.41
  5. Step 5: Solve for x
    x = 507,147,083.41/29,134.68
  6. Step 6: Final answer
    x = 17,406.99

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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.