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Finding the Fourth Proportional to 46,441.92, 69,648 and 15,269.76

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Solution

The fourth proportional to 46,441.92, 69,648 and 15,269.76 is: 22,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441.92 : 69,648 = 15,269.76 : x
  2. Step 2: Convert to fraction form
    46,441.92/69,648 = 15,269.76/x
  3. Step 3: Cross multiply
    46,441.92x = 69,648 × 15,269.76
  4. Step 4: Simplify right side
    46,441.92x = 1,063,508,244.48
  5. Step 5: Solve for x
    x = 1,063,508,244.48/46,441.92
  6. Step 6: Final answer
    x = 22,899.75

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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.