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Finding the Fourth Proportional to 69,514.60, 95,930.64 and 37,684

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Solution

The fourth proportional to 69,514.60, 95,930.64 and 37,684 is: 52,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,514.60 : 95,930.64 = 37,684 : x
  2. Step 2: Convert to fraction form
    69,514.60/95,930.64 = 37,684/x
  3. Step 3: Cross multiply
    69,514.60x = 95,930.64 × 37,684
  4. Step 4: Simplify right side
    69,514.60x = 3,615,050,237.76
  5. Step 5: Solve for x
    x = 3,615,050,237.76/69,514.60
  6. Step 6: Final answer
    x = 52,004.19

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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.