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Finding the Fourth Proportional to 30,212.04, 41,691.42 and 16,782.65

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Solution

The fourth proportional to 30,212.04, 41,691.42 and 16,782.65 is: 23,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.04 : 41,691.42 = 16,782.65 : x
  2. Step 2: Convert to fraction form
    30,212.04/41,691.42 = 16,782.65/x
  3. Step 3: Cross multiply
    30,212.04x = 41,691.42 × 16,782.65
  4. Step 4: Simplify right side
    30,212.04x = 699,692,457.75
  5. Step 5: Solve for x
    x = 699,692,457.75/30,212.04
  6. Step 6: Final answer
    x = 23,159.39

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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.