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Finding the Fourth Proportional to 73,683.84, 110,433.34 and 31,514.43

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Solution

The fourth proportional to 73,683.84, 110,433.34 and 31,514.43 is: 47,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,683.84 : 110,433.34 = 31,514.43 : x
  2. Step 2: Convert to fraction form
    73,683.84/110,433.34 = 31,514.43/x
  3. Step 3: Cross multiply
    73,683.84x = 110,433.34 × 31,514.43
  4. Step 4: Simplify right side
    73,683.84x = 3,480,243,684.31
  5. Step 5: Solve for x
    x = 3,480,243,684.31/73,683.84
  6. Step 6: Final answer
    x = 47,232.12

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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.