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Finding the Fourth Proportional to 37,210.98, 51,349.83 and 20,214.60

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Solution

The fourth proportional to 37,210.98, 51,349.83 and 20,214.60 is: 27,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.98 : 51,349.83 = 20,214.60 : x
  2. Step 2: Convert to fraction form
    37,210.98/51,349.83 = 20,214.60/x
  3. Step 3: Cross multiply
    37,210.98x = 51,349.83 × 20,214.60
  4. Step 4: Simplify right side
    37,210.98x = 1,038,016,273.52
  5. Step 5: Solve for x
    x = 1,038,016,273.52/37,210.98
  6. Step 6: Final answer
    x = 27,895.43

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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.