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Finding the Fourth Proportional to 56,945.33, 78,585.14 and 31,452.33

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Solution

The fourth proportional to 56,945.33, 78,585.14 and 31,452.33 is: 43,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945.33 : 78,585.14 = 31,452.33 : x
  2. Step 2: Convert to fraction form
    56,945.33/78,585.14 = 31,452.33/x
  3. Step 3: Cross multiply
    56,945.33x = 78,585.14 × 31,452.33
  4. Step 4: Simplify right side
    56,945.33x = 2,471,685,756.38
  5. Step 5: Solve for x
    x = 2,471,685,756.38/56,945.33
  6. Step 6: Final answer
    x = 43,404.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.