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Finding the Fourth Proportional to 83,866.25, 115,777.89 and 53,270.12

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Solution

The fourth proportional to 83,866.25, 115,777.89 and 53,270.12 is: 73,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866.25 : 115,777.89 = 53,270.12 : x
  2. Step 2: Convert to fraction form
    83,866.25/115,777.89 = 53,270.12/x
  3. Step 3: Cross multiply
    83,866.25x = 115,777.89 × 53,270.12
  4. Step 4: Simplify right side
    83,866.25x = 6,167,502,383.09
  5. Step 5: Solve for x
    x = 6,167,502,383.09/83,866.25
  6. Step 6: Final answer
    x = 73,539.74

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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.