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Finding the Fourth Proportional to 74,809.71, 103,222.26 and 47,596.61

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Solution

The fourth proportional to 74,809.71, 103,222.26 and 47,596.61 is: 65,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,809.71 : 103,222.26 = 47,596.61 : x
  2. Step 2: Convert to fraction form
    74,809.71/103,222.26 = 47,596.61/x
  3. Step 3: Cross multiply
    74,809.71x = 103,222.26 × 47,596.61
  4. Step 4: Simplify right side
    74,809.71x = 4,913,029,910.59
  5. Step 5: Solve for x
    x = 4,913,029,910.59/74,809.71
  6. Step 6: Final answer
    x = 65,673.69

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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.