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Finding the Fourth Proportional to 34,649.12, 51,619.20 and 32,977.28

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Solution

The fourth proportional to 34,649.12, 51,619.20 and 32,977.28 is: 49,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.12 : 51,619.20 = 32,977.28 : x
  2. Step 2: Convert to fraction form
    34,649.12/51,619.20 = 32,977.28/x
  3. Step 3: Cross multiply
    34,649.12x = 51,619.20 × 32,977.28
  4. Step 4: Simplify right side
    34,649.12x = 1,702,260,811.78
  5. Step 5: Solve for x
    x = 1,702,260,811.78/34,649.12
  6. Step 6: Final answer
    x = 49,128.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.