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Finding the Fourth Proportional to 31,667.34, 47,477.97 and 20,585.10

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Solution

The fourth proportional to 31,667.34, 47,477.97 and 20,585.10 is: 30,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.34 : 47,477.97 = 20,585.10 : x
  2. Step 2: Convert to fraction form
    31,667.34/47,477.97 = 20,585.10/x
  3. Step 3: Cross multiply
    31,667.34x = 47,477.97 × 20,585.10
  4. Step 4: Simplify right side
    31,667.34x = 977,338,760.25
  5. Step 5: Solve for x
    x = 977,338,760.25/31,667.34
  6. Step 6: Final answer
    x = 30,862.67

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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.