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Finding the Fourth Proportional to 57,644.72, 86,279.16 and 31,284.08

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Solution

The fourth proportional to 57,644.72, 86,279.16 and 31,284.08 is: 46,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.72 : 86,279.16 = 31,284.08 : x
  2. Step 2: Convert to fraction form
    57,644.72/86,279.16 = 31,284.08/x
  3. Step 3: Cross multiply
    57,644.72x = 86,279.16 × 31,284.08
  4. Step 4: Simplify right side
    57,644.72x = 2,699,164,143.77
  5. Step 5: Solve for x
    x = 2,699,164,143.77/57,644.72
  6. Step 6: Final answer
    x = 46,824.13

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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.