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Finding the Fourth Proportional to 55,193.40, 82,733.40 and 27,070.20

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Solution

The fourth proportional to 55,193.40, 82,733.40 and 27,070.20 is: 40,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,193.40 : 82,733.40 = 27,070.20 : x
  2. Step 2: Convert to fraction form
    55,193.40/82,733.40 = 27,070.20/x
  3. Step 3: Cross multiply
    55,193.40x = 82,733.40 × 27,070.20
  4. Step 4: Simplify right side
    55,193.40x = 2,239,609,684.68
  5. Step 5: Solve for x
    x = 2,239,609,684.68/55,193.40
  6. Step 6: Final answer
    x = 40,577.49

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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.