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Finding the Fourth Proportional to 73,132.94, 109,677.67 and 31,012.40

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Solution

The fourth proportional to 73,132.94, 109,677.67 and 31,012.40 is: 46,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.94 : 109,677.67 = 31,012.40 : x
  2. Step 2: Convert to fraction form
    73,132.94/109,677.67 = 31,012.40/x
  3. Step 3: Cross multiply
    73,132.94x = 109,677.67 × 31,012.40
  4. Step 4: Simplify right side
    73,132.94x = 3,401,367,773.11
  5. Step 5: Solve for x
    x = 3,401,367,773.11/73,132.94
  6. Step 6: Final answer
    x = 46,509.38

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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.