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Finding the Fourth Proportional to 54,905.32, 75,769.34 and 29,754.82

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Solution

The fourth proportional to 54,905.32, 75,769.34 and 29,754.82 is: 41,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905.32 : 75,769.34 = 29,754.82 : x
  2. Step 2: Convert to fraction form
    54,905.32/75,769.34 = 29,754.82/x
  3. Step 3: Cross multiply
    54,905.32x = 75,769.34 × 29,754.82
  4. Step 4: Simplify right side
    54,905.32x = 2,254,502,924.44
  5. Step 5: Solve for x
    x = 2,254,502,924.44/54,905.32
  6. Step 6: Final answer
    x = 41,061.65

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