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Finding the Fourth Proportional to 82,596.16, 113,862.64 and 61,054.12

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Solution

The fourth proportional to 82,596.16, 113,862.64 and 61,054.12 is: 84,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.16 : 113,862.64 = 61,054.12 : x
  2. Step 2: Convert to fraction form
    82,596.16/113,862.64 = 61,054.12/x
  3. Step 3: Cross multiply
    82,596.16x = 113,862.64 × 61,054.12
  4. Step 4: Simplify right side
    82,596.16x = 6,951,783,286.08
  5. Step 5: Solve for x
    x = 6,951,783,286.08/82,596.16
  6. Step 6: Final answer
    x = 84,165.94

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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.