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Finding the Fourth Proportional to 57,443.34, 86,165.02 and 34,057.02

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Solution

The fourth proportional to 57,443.34, 86,165.02 and 34,057.02 is: 51,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,443.34 : 86,165.02 = 34,057.02 : x
  2. Step 2: Convert to fraction form
    57,443.34/86,165.02 = 34,057.02/x
  3. Step 3: Cross multiply
    57,443.34x = 86,165.02 × 34,057.02
  4. Step 4: Simplify right side
    57,443.34x = 2,934,523,809.44
  5. Step 5: Solve for x
    x = 2,934,523,809.44/57,443.34
  6. Step 6: Final answer
    x = 51,085.54

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Why These Related Problems?

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