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Finding the Fourth Proportional to 30,210.54, 41,689.38 and 16,782.66

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Solution

The fourth proportional to 30,210.54, 41,689.38 and 16,782.66 is: 23,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.54 : 41,689.38 = 16,782.66 : x
  2. Step 2: Convert to fraction form
    30,210.54/41,689.38 = 16,782.66/x
  3. Step 3: Cross multiply
    30,210.54x = 41,689.38 × 16,782.66
  4. Step 4: Simplify right side
    30,210.54x = 699,658,690.15
  5. Step 5: Solve for x
    x = 699,658,690.15/30,210.54
  6. Step 6: Final answer
    x = 23,159.42

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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.