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Finding the Fourth Proportional to 102,074.88, 153,115.74 and 35,520.60

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Solution

The fourth proportional to 102,074.88, 153,115.74 and 35,520.60 is: 53,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074.88 : 153,115.74 = 35,520.60 : x
  2. Step 2: Convert to fraction form
    102,074.88/153,115.74 = 35,520.60/x
  3. Step 3: Cross multiply
    102,074.88x = 153,115.74 × 35,520.60
  4. Step 4: Simplify right side
    102,074.88x = 5,438,762,954.24
  5. Step 5: Solve for x
    x = 5,438,762,954.24/102,074.88
  6. Step 6: Final answer
    x = 53,282.09

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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.