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Finding the Fourth Proportional to 55,365, 83,080.71 and 20,308.20

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Solution

The fourth proportional to 55,365, 83,080.71 and 20,308.20 is: 30,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365 : 83,080.71 = 20,308.20 : x
  2. Step 2: Convert to fraction form
    55,365/83,080.71 = 20,308.20/x
  3. Step 3: Cross multiply
    55,365x = 83,080.71 × 20,308.20
  4. Step 4: Simplify right side
    55,365x = 1,687,219,674.82
  5. Step 5: Solve for x
    x = 1,687,219,674.82/55,365
  6. Step 6: Final answer
    x = 30,474.48

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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.