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Finding the Fourth Proportional to 54,774.56, 75,588.84 and 29,624

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Solution

The fourth proportional to 54,774.56, 75,588.84 and 29,624 is: 40,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774.56 : 75,588.84 = 29,624 : x
  2. Step 2: Convert to fraction form
    54,774.56/75,588.84 = 29,624/x
  3. Step 3: Cross multiply
    54,774.56x = 75,588.84 × 29,624
  4. Step 4: Simplify right side
    54,774.56x = 2,239,243,796.16
  5. Step 5: Solve for x
    x = 2,239,243,796.16/54,774.56
  6. Step 6: Final answer
    x = 40,881.09

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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.