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Finding the Fourth Proportional to 49,398.65, 74,111.84 and 19,837.24

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Solution

The fourth proportional to 49,398.65, 74,111.84 and 19,837.24 is: 29,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398.65 : 74,111.84 = 19,837.24 : x
  2. Step 2: Convert to fraction form
    49,398.65/74,111.84 = 19,837.24/x
  3. Step 3: Cross multiply
    49,398.65x = 74,111.84 × 19,837.24
  4. Step 4: Simplify right side
    49,398.65x = 1,470,174,406.51
  5. Step 5: Solve for x
    x = 1,470,174,406.51/49,398.65
  6. Step 6: Final answer
    x = 29,761.43

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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.