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Finding the Fourth Proportional to 89,829.20, 134,776.20 and 37,254.80

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Solution

The fourth proportional to 89,829.20, 134,776.20 and 37,254.80 is: 55,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,829.20 : 134,776.20 = 37,254.80 : x
  2. Step 2: Convert to fraction form
    89,829.20/134,776.20 = 37,254.80/x
  3. Step 3: Cross multiply
    89,829.20x = 134,776.20 × 37,254.80
  4. Step 4: Simplify right side
    89,829.20x = 5,021,060,375.76
  5. Step 5: Solve for x
    x = 5,021,060,375.76/89,829.20
  6. Step 6: Final answer
    x = 55,895.64

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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.