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Finding the Fourth Proportional to 57,279.48, 85,876.02 and 37,563

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Solution

The fourth proportional to 57,279.48, 85,876.02 and 37,563 is: 56,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,279.48 : 85,876.02 = 37,563 : x
  2. Step 2: Convert to fraction form
    57,279.48/85,876.02 = 37,563/x
  3. Step 3: Cross multiply
    57,279.48x = 85,876.02 × 37,563
  4. Step 4: Simplify right side
    57,279.48x = 3,225,760,939.26
  5. Step 5: Solve for x
    x = 3,225,760,939.26/57,279.48
  6. Step 6: Final answer
    x = 56,316.17

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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.