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Finding the Fourth Proportional to 84,678.42, 116,829.62 and 48,863.74

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Solution

The fourth proportional to 84,678.42, 116,829.62 and 48,863.74 is: 67,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678.42 : 116,829.62 = 48,863.74 : x
  2. Step 2: Convert to fraction form
    84,678.42/116,829.62 = 48,863.74/x
  3. Step 3: Cross multiply
    84,678.42x = 116,829.62 × 48,863.74
  4. Step 4: Simplify right side
    84,678.42x = 5,708,732,175.98
  5. Step 5: Solve for x
    x = 5,708,732,175.98/84,678.42
  6. Step 6: Final answer
    x = 67,416.61

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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.