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Finding the Fourth Proportional to 48,866, 73,295.32 and 15,584.72

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Solution

The fourth proportional to 48,866, 73,295.32 and 15,584.72 is: 23,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,866 : 73,295.32 = 15,584.72 : x
  2. Step 2: Convert to fraction form
    48,866/73,295.32 = 15,584.72/x
  3. Step 3: Cross multiply
    48,866x = 73,295.32 × 15,584.72
  4. Step 4: Simplify right side
    48,866x = 1,142,287,039.51
  5. Step 5: Solve for x
    x = 1,142,287,039.51/48,866
  6. Step 6: Final answer
    x = 23,375.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.