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Finding the Fourth Proportional to 31,492.92, 47,206.98 and 13,971

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Solution

The fourth proportional to 31,492.92, 47,206.98 and 13,971 is: 20,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.92 : 47,206.98 = 13,971 : x
  2. Step 2: Convert to fraction form
    31,492.92/47,206.98 = 13,971/x
  3. Step 3: Cross multiply
    31,492.92x = 47,206.98 × 13,971
  4. Step 4: Simplify right side
    31,492.92x = 659,528,717.58
  5. Step 5: Solve for x
    x = 659,528,717.58/31,492.92
  6. Step 6: Final answer
    x = 20,942.13

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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.