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Finding the Fourth Proportional to 84,649.20, 127,017 and 34,767.60

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Solution

The fourth proportional to 84,649.20, 127,017 and 34,767.60 is: 52,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,649.20 : 127,017 = 34,767.60 : x
  2. Step 2: Convert to fraction form
    84,649.20/127,017 = 34,767.60/x
  3. Step 3: Cross multiply
    84,649.20x = 127,017 × 34,767.60
  4. Step 4: Simplify right side
    84,649.20x = 4,416,076,249.20
  5. Step 5: Solve for x
    x = 4,416,076,249.20/84,649.20
  6. Step 6: Final answer
    x = 52,169.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.