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Finding the Fourth Proportional to 47,085.68, 70,638.24 and 13,806.80

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Solution

The fourth proportional to 47,085.68, 70,638.24 and 13,806.80 is: 20,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,085.68 : 70,638.24 = 13,806.80 : x
  2. Step 2: Convert to fraction form
    47,085.68/70,638.24 = 13,806.80/x
  3. Step 3: Cross multiply
    47,085.68x = 70,638.24 × 13,806.80
  4. Step 4: Simplify right side
    47,085.68x = 975,288,052.03
  5. Step 5: Solve for x
    x = 975,288,052.03/47,085.68
  6. Step 6: Final answer
    x = 20,713.05

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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.