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Finding the Fourth Proportional to 31,731.32, 47,601.03 and 10,662.32

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Solution

The fourth proportional to 31,731.32, 47,601.03 and 10,662.32 is: 15,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.32 : 47,601.03 = 10,662.32 : x
  2. Step 2: Convert to fraction form
    31,731.32/47,601.03 = 10,662.32/x
  3. Step 3: Cross multiply
    31,731.32x = 47,601.03 × 10,662.32
  4. Step 4: Simplify right side
    31,731.32x = 507,537,414.19
  5. Step 5: Solve for x
    x = 507,537,414.19/31,731.32
  6. Step 6: Final answer
    x = 15,994.84

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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.