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Finding the Fourth Proportional to 77,955.66, 107,584.38 and 43,967.16

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Solution

The fourth proportional to 77,955.66, 107,584.38 and 43,967.16 is: 60,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,955.66 : 107,584.38 = 43,967.16 : x
  2. Step 2: Convert to fraction form
    77,955.66/107,584.38 = 43,967.16/x
  3. Step 3: Cross multiply
    77,955.66x = 107,584.38 × 43,967.16
  4. Step 4: Simplify right side
    77,955.66x = 4,730,179,648.96
  5. Step 5: Solve for x
    x = 4,730,179,648.96/77,955.66
  6. Step 6: Final answer
    x = 60,677.82

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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.