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Finding the Fourth Proportional to 83,477.48, 115,202.64 and 47,670.36

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Solution

The fourth proportional to 83,477.48, 115,202.64 and 47,670.36 is: 65,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.48 : 115,202.64 = 47,670.36 : x
  2. Step 2: Convert to fraction form
    83,477.48/115,202.64 = 47,670.36/x
  3. Step 3: Cross multiply
    83,477.48x = 115,202.64 × 47,670.36
  4. Step 4: Simplify right side
    83,477.48x = 5,491,751,321.75
  5. Step 5: Solve for x
    x = 5,491,751,321.75/83,477.48
  6. Step 6: Final answer
    x = 65,787.22

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1.5x scale

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.