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Finding the Fourth Proportional to 54,830.34, 82,270.55 and 29,832.90

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Solution

The fourth proportional to 54,830.34, 82,270.55 and 29,832.90 is: 44,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830.34 : 82,270.55 = 29,832.90 : x
  2. Step 2: Convert to fraction form
    54,830.34/82,270.55 = 29,832.90/x
  3. Step 3: Cross multiply
    54,830.34x = 82,270.55 × 29,832.90
  4. Step 4: Simplify right side
    54,830.34x = 2,454,369,091.10
  5. Step 5: Solve for x
    x = 2,454,369,091.10/54,830.34
  6. Step 6: Final answer
    x = 44,762.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.