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Finding the Fourth Proportional to 76,631.79, 105,750.86 and 43,097.79

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Solution

The fourth proportional to 76,631.79, 105,750.86 and 43,097.79 is: 59,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,631.79 : 105,750.86 = 43,097.79 : x
  2. Step 2: Convert to fraction form
    76,631.79/105,750.86 = 43,097.79/x
  3. Step 3: Cross multiply
    76,631.79x = 105,750.86 × 43,097.79
  4. Step 4: Simplify right side
    76,631.79x = 4,557,628,141.11
  5. Step 5: Solve for x
    x = 4,557,628,141.11/76,631.79
  6. Step 6: Final answer
    x = 59,474.38

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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.