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Finding the Fourth Proportional to 32,705.28, 49,276.44 and 29,589.24

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Solution

The fourth proportional to 32,705.28, 49,276.44 and 29,589.24 is: 44,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.28 : 49,276.44 = 29,589.24 : x
  2. Step 2: Convert to fraction form
    32,705.28/49,276.44 = 29,589.24/x
  3. Step 3: Cross multiply
    32,705.28x = 49,276.44 × 29,589.24
  4. Step 4: Simplify right side
    32,705.28x = 1,458,052,409.51
  5. Step 5: Solve for x
    x = 1,458,052,409.51/32,705.28
  6. Step 6: Final answer
    x = 44,581.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.