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Finding the Fourth Proportional to 55,142.60, 82,713.90 and 52,809.80

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Solution

The fourth proportional to 55,142.60, 82,713.90 and 52,809.80 is: 79,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.60 : 82,713.90 = 52,809.80 : x
  2. Step 2: Convert to fraction form
    55,142.60/82,713.90 = 52,809.80/x
  3. Step 3: Cross multiply
    55,142.60x = 82,713.90 × 52,809.80
  4. Step 4: Simplify right side
    55,142.60x = 4,368,104,516.22
  5. Step 5: Solve for x
    x = 4,368,104,516.22/55,142.60
  6. Step 6: Final answer
    x = 79,214.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.