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Finding the Fourth Proportional to 29,857.42, 44,721.32 and 29,027.98

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Solution

The fourth proportional to 29,857.42, 44,721.32 and 29,027.98 is: 43,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857.42 : 44,721.32 = 29,027.98 : x
  2. Step 2: Convert to fraction form
    29,857.42/44,721.32 = 29,027.98/x
  3. Step 3: Cross multiply
    29,857.42x = 44,721.32 × 29,027.98
  4. Step 4: Simplify right side
    29,857.42x = 1,298,169,582.53
  5. Step 5: Solve for x
    x = 1,298,169,582.53/29,857.42
  6. Step 6: Final answer
    x = 43,478.96

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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.