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Finding the Fourth Proportional to 31,465.16, 47,186.50 and 10,401.31

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Solution

The fourth proportional to 31,465.16, 47,186.50 and 10,401.31 is: 15,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.16 : 47,186.50 = 10,401.31 : x
  2. Step 2: Convert to fraction form
    31,465.16/47,186.50 = 10,401.31/x
  3. Step 3: Cross multiply
    31,465.16x = 47,186.50 × 10,401.31
  4. Step 4: Simplify right side
    31,465.16x = 490,801,414.32
  5. Step 5: Solve for x
    x = 490,801,414.32/31,465.16
  6. Step 6: Final answer
    x = 15,598.25

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