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Finding the Fourth Proportional to 55,464, 83,146.56 and 20,395.20

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Solution

The fourth proportional to 55,464, 83,146.56 and 20,395.20 is: 30,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464 : 83,146.56 = 20,395.20 : x
  2. Step 2: Convert to fraction form
    55,464/83,146.56 = 20,395.20/x
  3. Step 3: Cross multiply
    55,464x = 83,146.56 × 20,395.20
  4. Step 4: Simplify right side
    55,464x = 1,695,790,720.51
  5. Step 5: Solve for x
    x = 1,695,790,720.51/55,464
  6. Step 6: Final answer
    x = 30,574.62

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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.