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Finding the Fourth Proportional to 54,669.44, 75,443.84 and 32,024

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Solution

The fourth proportional to 54,669.44, 75,443.84 and 32,024 is: 44,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,669.44 : 75,443.84 = 32,024 : x
  2. Step 2: Convert to fraction form
    54,669.44/75,443.84 = 32,024/x
  3. Step 3: Cross multiply
    54,669.44x = 75,443.84 × 32,024
  4. Step 4: Simplify right side
    54,669.44x = 2,416,013,532.16
  5. Step 5: Solve for x
    x = 2,416,013,532.16/54,669.44
  6. Step 6: Final answer
    x = 44,193.13

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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.