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Finding the Fourth Proportional to 75,243.74, 112,854.09 and 19,844.06

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Solution

The fourth proportional to 75,243.74, 112,854.09 and 19,844.06 is: 29,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243.74 : 112,854.09 = 19,844.06 : x
  2. Step 2: Convert to fraction form
    75,243.74/112,854.09 = 19,844.06/x
  3. Step 3: Cross multiply
    75,243.74x = 112,854.09 × 19,844.06
  4. Step 4: Simplify right side
    75,243.74x = 2,239,483,333.21
  5. Step 5: Solve for x
    x = 2,239,483,333.21/75,243.74
  6. Step 6: Final answer
    x = 29,763.05

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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.