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Finding the Fourth Proportional to 31,409.35, 47,119.79 and 10,350.63

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Solution

The fourth proportional to 31,409.35, 47,119.79 and 10,350.63 is: 15,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.35 : 47,119.79 = 10,350.63 : x
  2. Step 2: Convert to fraction form
    31,409.35/47,119.79 = 10,350.63/x
  3. Step 3: Cross multiply
    31,409.35x = 47,119.79 × 10,350.63
  4. Step 4: Simplify right side
    31,409.35x = 487,719,537.84
  5. Step 5: Solve for x
    x = 487,719,537.84/31,409.35
  6. Step 6: Final answer
    x = 15,527.85

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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.