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Finding the Fourth Proportional to 55,644.54, 83,470.14 and 18,208.50

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Solution

The fourth proportional to 55,644.54, 83,470.14 and 18,208.50 is: 27,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,644.54 : 83,470.14 = 18,208.50 : x
  2. Step 2: Convert to fraction form
    55,644.54/83,470.14 = 18,208.50/x
  3. Step 3: Cross multiply
    55,644.54x = 83,470.14 × 18,208.50
  4. Step 4: Simplify right side
    55,644.54x = 1,519,866,044.19
  5. Step 5: Solve for x
    x = 1,519,866,044.19/55,644.54
  6. Step 6: Final answer
    x = 27,313.84

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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.