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Finding the Fourth Proportional to 49,036.88, 73,579.60 and 19,454

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Solution

The fourth proportional to 49,036.88, 73,579.60 and 19,454 is: 29,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,036.88 : 73,579.60 = 19,454 : x
  2. Step 2: Convert to fraction form
    49,036.88/73,579.60 = 19,454/x
  3. Step 3: Cross multiply
    49,036.88x = 73,579.60 × 19,454
  4. Step 4: Simplify right side
    49,036.88x = 1,431,417,538.40
  5. Step 5: Solve for x
    x = 1,431,417,538.40/49,036.88
  6. Step 6: Final answer
    x = 29,190.63

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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.