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Finding the Fourth Proportional to 29,424.32, 40,624.96 and 22,698.24

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Solution

The fourth proportional to 29,424.32, 40,624.96 and 22,698.24 is: 31,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424.32 : 40,624.96 = 22,698.24 : x
  2. Step 2: Convert to fraction form
    29,424.32/40,624.96 = 22,698.24/x
  3. Step 3: Cross multiply
    29,424.32x = 40,624.96 × 22,698.24
  4. Step 4: Simplify right side
    29,424.32x = 922,115,092.07
  5. Step 5: Solve for x
    x = 922,115,092.07/29,424.32
  6. Step 6: Final answer
    x = 31,338.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.