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Finding the Fourth Proportional to 53,677.80, 80,516.70 and 47,116.80

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Solution

The fourth proportional to 53,677.80, 80,516.70 and 47,116.80 is: 70,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,677.80 : 80,516.70 = 47,116.80 : x
  2. Step 2: Convert to fraction form
    53,677.80/80,516.70 = 47,116.80/x
  3. Step 3: Cross multiply
    53,677.80x = 80,516.70 × 47,116.80
  4. Step 4: Simplify right side
    53,677.80x = 3,793,689,250.56
  5. Step 5: Solve for x
    x = 3,793,689,250.56/53,677.80
  6. Step 6: Final answer
    x = 70,675.20

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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.