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Finding the Fourth Proportional to 31,707.69, 47,562 and 15,069.42

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Solution

The fourth proportional to 31,707.69, 47,562 and 15,069.42 is: 22,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707.69 : 47,562 = 15,069.42 : x
  2. Step 2: Convert to fraction form
    31,707.69/47,562 = 15,069.42/x
  3. Step 3: Cross multiply
    31,707.69x = 47,562 × 15,069.42
  4. Step 4: Simplify right side
    31,707.69x = 716,731,754.04
  5. Step 5: Solve for x
    x = 716,731,754.04/31,707.69
  6. Step 6: Final answer
    x = 22,604.35

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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.