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Finding the Fourth Proportional to 73,180.95, 109,771.43 and 28,783.44

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Solution

The fourth proportional to 73,180.95, 109,771.43 and 28,783.44 is: 43,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,180.95 : 109,771.43 = 28,783.44 : x
  2. Step 2: Convert to fraction form
    73,180.95/109,771.43 = 28,783.44/x
  3. Step 3: Cross multiply
    73,180.95x = 109,771.43 × 28,783.44
  4. Step 4: Simplify right side
    73,180.95x = 3,159,599,225.20
  5. Step 5: Solve for x
    x = 3,159,599,225.20/73,180.95
  6. Step 6: Final answer
    x = 43,175.16

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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.