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Finding the Fourth Proportional to 31,709.57, 47,564.82 and 15,071.30

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Solution

The fourth proportional to 31,709.57, 47,564.82 and 15,071.30 is: 22,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.57 : 47,564.82 = 15,071.30 : x
  2. Step 2: Convert to fraction form
    31,709.57/47,564.82 = 15,071.30/x
  3. Step 3: Cross multiply
    31,709.57x = 47,564.82 × 15,071.30
  4. Step 4: Simplify right side
    31,709.57x = 716,863,358.49
  5. Step 5: Solve for x
    x = 716,863,358.49/31,709.57
  6. Step 6: Final answer
    x = 22,607.16

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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.