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Finding the Fourth Proportional to 71,840.32, 107,786.40 and 36,796.48

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Solution

The fourth proportional to 71,840.32, 107,786.40 and 36,796.48 is: 55,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.32 : 107,786.40 = 36,796.48 : x
  2. Step 2: Convert to fraction form
    71,840.32/107,786.40 = 36,796.48/x
  3. Step 3: Cross multiply
    71,840.32x = 107,786.40 × 36,796.48
  4. Step 4: Simplify right side
    71,840.32x = 3,966,160,111.87
  5. Step 5: Solve for x
    x = 3,966,160,111.87/71,840.32
  6. Step 6: Final answer
    x = 55,208.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.