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Finding the Fourth Proportional to 84,643.20, 127,008 and 34,761.60

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Solution

The fourth proportional to 84,643.20, 127,008 and 34,761.60 is: 52,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.20 : 127,008 = 34,761.60 : x
  2. Step 2: Convert to fraction form
    84,643.20/127,008 = 34,761.60/x
  3. Step 3: Cross multiply
    84,643.20x = 127,008 × 34,761.60
  4. Step 4: Simplify right side
    84,643.20x = 4,415,001,292.80
  5. Step 5: Solve for x
    x = 4,415,001,292.80/84,643.20
  6. Step 6: Final answer
    x = 52,160.14

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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.