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Finding the Fourth Proportional to 46,815.92, 70,227.12 and 15,647.12

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Solution

The fourth proportional to 46,815.92, 70,227.12 and 15,647.12 is: 23,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815.92 : 70,227.12 = 15,647.12 : x
  2. Step 2: Convert to fraction form
    46,815.92/70,227.12 = 15,647.12/x
  3. Step 3: Cross multiply
    46,815.92x = 70,227.12 × 15,647.12
  4. Step 4: Simplify right side
    46,815.92x = 1,098,852,173.89
  5. Step 5: Solve for x
    x = 1,098,852,173.89/46,815.92
  6. Step 6: Final answer
    x = 23,471.76

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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.