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Finding the Fourth Proportional to 30,378.79, 41,919.82 and 18,448.66

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Solution

The fourth proportional to 30,378.79, 41,919.82 and 18,448.66 is: 25,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.79 : 41,919.82 = 18,448.66 : x
  2. Step 2: Convert to fraction form
    30,378.79/41,919.82 = 18,448.66/x
  3. Step 3: Cross multiply
    30,378.79x = 41,919.82 × 18,448.66
  4. Step 4: Simplify right side
    30,378.79x = 773,364,506.44
  5. Step 5: Solve for x
    x = 773,364,506.44/30,378.79
  6. Step 6: Final answer
    x = 25,457.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.