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Finding the Fourth Proportional to 73,951.50, 102,053.07 and 47,501.58

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Solution

The fourth proportional to 73,951.50, 102,053.07 and 47,501.58 is: 65,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,951.50 : 102,053.07 = 47,501.58 : x
  2. Step 2: Convert to fraction form
    73,951.50/102,053.07 = 47,501.58/x
  3. Step 3: Cross multiply
    73,951.50x = 102,053.07 × 47,501.58
  4. Step 4: Simplify right side
    73,951.50x = 4,847,682,068.85
  5. Step 5: Solve for x
    x = 4,847,682,068.85/73,951.50
  6. Step 6: Final answer
    x = 65,552.18

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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.