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Finding the Fourth Proportional to 31,811.50, 47,653.55 and 19,154.21

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Solution

The fourth proportional to 31,811.50, 47,653.55 and 19,154.21 is: 28,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.50 : 47,653.55 = 19,154.21 : x
  2. Step 2: Convert to fraction form
    31,811.50/47,653.55 = 19,154.21/x
  3. Step 3: Cross multiply
    31,811.50x = 47,653.55 × 19,154.21
  4. Step 4: Simplify right side
    31,811.50x = 912,766,008.17
  5. Step 5: Solve for x
    x = 912,766,008.17/31,811.50
  6. Step 6: Final answer
    x = 28,692.96

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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.