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Finding the Fourth Proportional to 86,069.38, 118,773.16 and 47,828.80

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Solution

The fourth proportional to 86,069.38, 118,773.16 and 47,828.80 is: 66,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,069.38 : 118,773.16 = 47,828.80 : x
  2. Step 2: Convert to fraction form
    86,069.38/118,773.16 = 47,828.80/x
  3. Step 3: Cross multiply
    86,069.38x = 118,773.16 × 47,828.80
  4. Step 4: Simplify right side
    86,069.38x = 5,680,777,715.01
  5. Step 5: Solve for x
    x = 5,680,777,715.01/86,069.38
  6. Step 6: Final answer
    x = 66,002.31

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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.