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Finding the Fourth Proportional to 73,341.16, 109,919.40 and 39,991.84

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Solution

The fourth proportional to 73,341.16, 109,919.40 and 39,991.84 is: 59,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,341.16 : 109,919.40 = 39,991.84 : x
  2. Step 2: Convert to fraction form
    73,341.16/109,919.40 = 39,991.84/x
  3. Step 3: Cross multiply
    73,341.16x = 109,919.40 × 39,991.84
  4. Step 4: Simplify right side
    73,341.16x = 4,395,879,057.70
  5. Step 5: Solve for x
    x = 4,395,879,057.70/73,341.16
  6. Step 6: Final answer
    x = 59,937.41

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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.