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Finding the Fourth Proportional to 31,492.94, 47,241.12 and 12,770.19

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Solution

The fourth proportional to 31,492.94, 47,241.12 and 12,770.19 is: 19,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.94 : 47,241.12 = 12,770.19 : x
  2. Step 2: Convert to fraction form
    31,492.94/47,241.12 = 12,770.19/x
  3. Step 3: Cross multiply
    31,492.94x = 47,241.12 × 12,770.19
  4. Step 4: Simplify right side
    31,492.94x = 603,278,126.10
  5. Step 5: Solve for x
    x = 603,278,126.10/31,492.94
  6. Step 6: Final answer
    x = 19,155.98

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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.