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Finding the Fourth Proportional to 76,732.26, 105,942.72 and 48,063.77

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Solution

The fourth proportional to 76,732.26, 105,942.72 and 48,063.77 is: 66,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732.26 : 105,942.72 = 48,063.77 : x
  2. Step 2: Convert to fraction form
    76,732.26/105,942.72 = 48,063.77/x
  3. Step 3: Cross multiply
    76,732.26x = 105,942.72 × 48,063.77
  4. Step 4: Simplify right side
    76,732.26x = 5,092,006,358.49
  5. Step 5: Solve for x
    x = 5,092,006,358.49/76,732.26
  6. Step 6: Final answer
    x = 66,360.70

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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.