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Finding the Fourth Proportional to 31,176, 46,765.56 and 10,401.12

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Solution

The fourth proportional to 31,176, 46,765.56 and 10,401.12 is: 15,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176 : 46,765.56 = 10,401.12 : x
  2. Step 2: Convert to fraction form
    31,176/46,765.56 = 10,401.12/x
  3. Step 3: Cross multiply
    31,176x = 46,765.56 × 10,401.12
  4. Step 4: Simplify right side
    31,176x = 486,414,201.43
  5. Step 5: Solve for x
    x = 486,414,201.43/31,176
  6. Step 6: Final answer
    x = 15,602.20

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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.