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Finding the Fourth Proportional to 76,986.10, 106,342.82 and 61,935.45

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Solution

The fourth proportional to 76,986.10, 106,342.82 and 61,935.45 is: 85,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986.10 : 106,342.82 = 61,935.45 : x
  2. Step 2: Convert to fraction form
    76,986.10/106,342.82 = 61,935.45/x
  3. Step 3: Cross multiply
    76,986.10x = 106,342.82 × 61,935.45
  4. Step 4: Simplify right side
    76,986.10x = 6,586,390,410.97
  5. Step 5: Solve for x
    x = 6,586,390,410.97/76,986.10
  6. Step 6: Final answer
    x = 85,552.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.