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Finding the Fourth Proportional to 109,499.20, 164,248.80 and 35,627.20

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Solution

The fourth proportional to 109,499.20, 164,248.80 and 35,627.20 is: 53,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,499.20 : 164,248.80 = 35,627.20 : x
  2. Step 2: Convert to fraction form
    109,499.20/164,248.80 = 35,627.20/x
  3. Step 3: Cross multiply
    109,499.20x = 164,248.80 × 35,627.20
  4. Step 4: Simplify right side
    109,499.20x = 5,851,724,847.36
  5. Step 5: Solve for x
    x = 5,851,724,847.36/109,499.20
  6. Step 6: Final answer
    x = 53,440.80

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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.