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Finding the Fourth Proportional to 54,285.50, 74,905.24 and 34,128.10

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Solution

The fourth proportional to 54,285.50, 74,905.24 and 34,128.10 is: 47,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,285.50 : 74,905.24 = 34,128.10 : x
  2. Step 2: Convert to fraction form
    54,285.50/74,905.24 = 34,128.10/x
  3. Step 3: Cross multiply
    54,285.50x = 74,905.24 × 34,128.10
  4. Step 4: Simplify right side
    54,285.50x = 2,556,373,521.24
  5. Step 5: Solve for x
    x = 2,556,373,521.24/54,285.50
  6. Step 6: Final answer
    x = 47,091.28

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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.