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Finding the Fourth Proportional to 37,783.34, 52,140.87 and 21,016.34

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Solution

The fourth proportional to 37,783.34, 52,140.87 and 21,016.34 is: 29,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.34 : 52,140.87 = 21,016.34 : x
  2. Step 2: Convert to fraction form
    37,783.34/52,140.87 = 21,016.34/x
  3. Step 3: Cross multiply
    37,783.34x = 52,140.87 × 21,016.34
  4. Step 4: Simplify right side
    37,783.34x = 1,095,810,251.82
  5. Step 5: Solve for x
    x = 1,095,810,251.82/37,783.34
  6. Step 6: Final answer
    x = 29,002.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.