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Finding the Fourth Proportional to 73,684.09, 110,433.71 and 31,514.68

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Solution

The fourth proportional to 73,684.09, 110,433.71 and 31,514.68 is: 47,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.09 : 110,433.71 = 31,514.68 : x
  2. Step 2: Convert to fraction form
    73,684.09/110,433.71 = 31,514.68/x
  3. Step 3: Cross multiply
    73,684.09x = 110,433.71 × 31,514.68
  4. Step 4: Simplify right side
    73,684.09x = 3,480,283,031.86
  5. Step 5: Solve for x
    x = 3,480,283,031.86/73,684.09
  6. Step 6: Final answer
    x = 47,232.49

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