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Finding the Fourth Proportional to 29,110.66, 43,652.16 and 13,311

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Solution

The fourth proportional to 29,110.66, 43,652.16 and 13,311 is: 19,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110.66 : 43,652.16 = 13,311 : x
  2. Step 2: Convert to fraction form
    29,110.66/43,652.16 = 13,311/x
  3. Step 3: Cross multiply
    29,110.66x = 43,652.16 × 13,311
  4. Step 4: Simplify right side
    29,110.66x = 581,053,901.76
  5. Step 5: Solve for x
    x = 581,053,901.76/29,110.66
  6. Step 6: Final answer
    x = 19,960.18

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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.