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Finding the Fourth Proportional to 30,698.44, 45,998.44 and 27,746

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Solution

The fourth proportional to 30,698.44, 45,998.44 and 27,746 is: 41,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.44 : 45,998.44 = 27,746 : x
  2. Step 2: Convert to fraction form
    30,698.44/45,998.44 = 27,746/x
  3. Step 3: Cross multiply
    30,698.44x = 45,998.44 × 27,746
  4. Step 4: Simplify right side
    30,698.44x = 1,276,272,716.24
  5. Step 5: Solve for x
    x = 1,276,272,716.24/30,698.44
  6. Step 6: Final answer
    x = 41,574.51

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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.