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Finding the Fourth Proportional to 73,184.40, 109,802.88 and 28,786.56

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Solution

The fourth proportional to 73,184.40, 109,802.88 and 28,786.56 is: 43,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184.40 : 109,802.88 = 28,786.56 : x
  2. Step 2: Convert to fraction form
    73,184.40/109,802.88 = 28,786.56/x
  3. Step 3: Cross multiply
    73,184.40x = 109,802.88 × 28,786.56
  4. Step 4: Simplify right side
    73,184.40x = 3,160,847,193.29
  5. Step 5: Solve for x
    x = 3,160,847,193.29/73,184.40
  6. Step 6: Final answer
    x = 43,190.18

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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.