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Finding the Fourth Proportional to 84,136.32, 116,066.52 and 55,047.60

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Solution

The fourth proportional to 84,136.32, 116,066.52 and 55,047.60 is: 75,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136.32 : 116,066.52 = 55,047.60 : x
  2. Step 2: Convert to fraction form
    84,136.32/116,066.52 = 55,047.60/x
  3. Step 3: Cross multiply
    84,136.32x = 116,066.52 × 55,047.60
  4. Step 4: Simplify right side
    84,136.32x = 6,389,183,366.35
  5. Step 5: Solve for x
    x = 6,389,183,366.35/84,136.32
  6. Step 6: Final answer
    x = 75,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.