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Finding the Fourth Proportional to 37,505.97, 51,541.83 and 35,771.40

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Solution

The fourth proportional to 37,505.97, 51,541.83 and 35,771.40 is: 49,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.97 : 51,541.83 = 35,771.40 : x
  2. Step 2: Convert to fraction form
    37,505.97/51,541.83 = 35,771.40/x
  3. Step 3: Cross multiply
    37,505.97x = 51,541.83 × 35,771.40
  4. Step 4: Simplify right side
    37,505.97x = 1,843,723,417.66
  5. Step 5: Solve for x
    x = 1,843,723,417.66/37,505.97
  6. Step 6: Final answer
    x = 49,158.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.