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Finding the Fourth Proportional to 29,733.70, 44,569.34 and 10,005.42

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Solution

The fourth proportional to 29,733.70, 44,569.34 and 10,005.42 is: 14,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733.70 : 44,569.34 = 10,005.42 : x
  2. Step 2: Convert to fraction form
    29,733.70/44,569.34 = 10,005.42/x
  3. Step 3: Cross multiply
    29,733.70x = 44,569.34 × 10,005.42
  4. Step 4: Simplify right side
    29,733.70x = 445,934,965.82
  5. Step 5: Solve for x
    x = 445,934,965.82/29,733.70
  6. Step 6: Final answer
    x = 14,997.63

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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.