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Finding the Fourth Proportional to 55,433.16, 83,138.81 and 19,893.50

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Solution

The fourth proportional to 55,433.16, 83,138.81 and 19,893.50 is: 29,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433.16 : 83,138.81 = 19,893.50 : x
  2. Step 2: Convert to fraction form
    55,433.16/83,138.81 = 19,893.50/x
  3. Step 3: Cross multiply
    55,433.16x = 83,138.81 × 19,893.50
  4. Step 4: Simplify right side
    55,433.16x = 1,653,921,713.34
  5. Step 5: Solve for x
    x = 1,653,921,713.34/55,433.16
  6. Step 6: Final answer
    x = 29,836.32

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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.