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Finding the Fourth Proportional to 54,735.56, 75,534.96 and 29,585

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Solution

The fourth proportional to 54,735.56, 75,534.96 and 29,585 is: 40,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735.56 : 75,534.96 = 29,585 : x
  2. Step 2: Convert to fraction form
    54,735.56/75,534.96 = 29,585/x
  3. Step 3: Cross multiply
    54,735.56x = 75,534.96 × 29,585
  4. Step 4: Simplify right side
    54,735.56x = 2,234,701,791.60
  5. Step 5: Solve for x
    x = 2,234,701,791.60/54,735.56
  6. Step 6: Final answer
    x = 40,827.24

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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.