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Finding the Fourth Proportional to 54,817.32, 75,644.10 and 32,457

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Solution

The fourth proportional to 54,817.32, 75,644.10 and 32,457 is: 44,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,817.32 : 75,644.10 = 32,457 : x
  2. Step 2: Convert to fraction form
    54,817.32/75,644.10 = 32,457/x
  3. Step 3: Cross multiply
    54,817.32x = 75,644.10 × 32,457
  4. Step 4: Simplify right side
    54,817.32x = 2,455,180,553.70
  5. Step 5: Solve for x
    x = 2,455,180,553.70/54,817.32
  6. Step 6: Final answer
    x = 44,788.41

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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.