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Finding the Fourth Proportional to 55,465.77, 83,162.23 and 19,909.24

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Solution

The fourth proportional to 55,465.77, 83,162.23 and 19,909.24 is: 29,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465.77 : 83,162.23 = 19,909.24 : x
  2. Step 2: Convert to fraction form
    55,465.77/83,162.23 = 19,909.24/x
  3. Step 3: Cross multiply
    55,465.77x = 83,162.23 × 19,909.24
  4. Step 4: Simplify right side
    55,465.77x = 1,655,696,796.01
  5. Step 5: Solve for x
    x = 1,655,696,796.01/55,465.77
  6. Step 6: Final answer
    x = 29,850.79

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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.