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Finding the Fourth Proportional to 55,643.40, 83,465.10 and 20,575.80

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Solution

The fourth proportional to 55,643.40, 83,465.10 and 20,575.80 is: 30,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.40 : 83,465.10 = 20,575.80 : x
  2. Step 2: Convert to fraction form
    55,643.40/83,465.10 = 20,575.80/x
  3. Step 3: Cross multiply
    55,643.40x = 83,465.10 × 20,575.80
  4. Step 4: Simplify right side
    55,643.40x = 1,717,361,204.58
  5. Step 5: Solve for x
    x = 1,717,361,204.58/55,643.40
  6. Step 6: Final answer
    x = 30,863.70

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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.