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Finding the Fourth Proportional to 82,494.93, 113,667.16 and 55,590.71

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Solution

The fourth proportional to 82,494.93, 113,667.16 and 55,590.71 is: 76,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494.93 : 113,667.16 = 55,590.71 : x
  2. Step 2: Convert to fraction form
    82,494.93/113,667.16 = 55,590.71/x
  3. Step 3: Cross multiply
    82,494.93x = 113,667.16 × 55,590.71
  4. Step 4: Simplify right side
    82,494.93x = 6,318,838,128.08
  5. Step 5: Solve for x
    x = 6,318,838,128.08/82,494.93
  6. Step 6: Final answer
    x = 76,596.68

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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.