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Finding the Fourth Proportional to 31,529.12, 47,288.56 and 9,636

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Solution

The fourth proportional to 31,529.12, 47,288.56 and 9,636 is: 14,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,529.12 : 47,288.56 = 9,636 : x
  2. Step 2: Convert to fraction form
    31,529.12/47,288.56 = 9,636/x
  3. Step 3: Cross multiply
    31,529.12x = 47,288.56 × 9,636
  4. Step 4: Simplify right side
    31,529.12x = 455,672,564.16
  5. Step 5: Solve for x
    x = 455,672,564.16/31,529.12
  6. Step 6: Final answer
    x = 14,452.44

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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.