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Finding the Fourth Proportional to 55,434.60, 83,184.68 and 20,398.84

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Solution

The fourth proportional to 55,434.60, 83,184.68 and 20,398.84 is: 30,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434.60 : 83,184.68 = 20,398.84 : x
  2. Step 2: Convert to fraction form
    55,434.60/83,184.68 = 20,398.84/x
  3. Step 3: Cross multiply
    55,434.60x = 83,184.68 × 20,398.84
  4. Step 4: Simplify right side
    55,434.60x = 1,696,870,977.77
  5. Step 5: Solve for x
    x = 1,696,870,977.77/55,434.60
  6. Step 6: Final answer
    x = 30,610.32

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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.