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Finding the Fourth Proportional to 49,398.59, 74,111.75 and 19,837.18

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Solution

The fourth proportional to 49,398.59, 74,111.75 and 19,837.18 is: 29,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398.59 : 74,111.75 = 19,837.18 : x
  2. Step 2: Convert to fraction form
    49,398.59/74,111.75 = 19,837.18/x
  3. Step 3: Cross multiply
    49,398.59x = 74,111.75 × 19,837.18
  4. Step 4: Simplify right side
    49,398.59x = 1,470,167,914.79
  5. Step 5: Solve for x
    x = 1,470,167,914.79/49,398.59
  6. Step 6: Final answer
    x = 29,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.