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Finding the Fourth Proportional to 85,680.48, 118,238.16 and 47,955

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Solution

The fourth proportional to 85,680.48, 118,238.16 and 47,955 is: 66,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680.48 : 118,238.16 = 47,955 : x
  2. Step 2: Convert to fraction form
    85,680.48/118,238.16 = 47,955/x
  3. Step 3: Cross multiply
    85,680.48x = 118,238.16 × 47,955
  4. Step 4: Simplify right side
    85,680.48x = 5,670,110,962.80
  5. Step 5: Solve for x
    x = 5,670,110,962.80/85,680.48
  6. Step 6: Final answer
    x = 66,177.39

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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.