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Finding the Fourth Proportional to 49,206.36, 73,764.06 and 19,617

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Solution

The fourth proportional to 49,206.36, 73,764.06 and 19,617 is: 29,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206.36 : 73,764.06 = 19,617 : x
  2. Step 2: Convert to fraction form
    49,206.36/73,764.06 = 19,617/x
  3. Step 3: Cross multiply
    49,206.36x = 73,764.06 × 19,617
  4. Step 4: Simplify right side
    49,206.36x = 1,447,029,565.02
  5. Step 5: Solve for x
    x = 1,447,029,565.02/49,206.36
  6. Step 6: Final answer
    x = 29,407.37

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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.