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Finding the Fourth Proportional to 31,698.63, 47,555.84 and 9,512.42

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Solution

The fourth proportional to 31,698.63, 47,555.84 and 9,512.42 is: 14,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.63 : 47,555.84 = 9,512.42 : x
  2. Step 2: Convert to fraction form
    31,698.63/47,555.84 = 9,512.42/x
  3. Step 3: Cross multiply
    31,698.63x = 47,555.84 × 9,512.42
  4. Step 4: Simplify right side
    31,698.63x = 452,370,909.53
  5. Step 5: Solve for x
    x = 452,370,909.53/31,698.63
  6. Step 6: Final answer
    x = 14,270.99

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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.