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Finding the Fourth Proportional to 30,210.62, 41,696.07 and 17,462

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Solution

The fourth proportional to 30,210.62, 41,696.07 and 17,462 is: 24,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.62 : 41,696.07 = 17,462 : x
  2. Step 2: Convert to fraction form
    30,210.62/41,696.07 = 17,462/x
  3. Step 3: Cross multiply
    30,210.62x = 41,696.07 × 17,462
  4. Step 4: Simplify right side
    30,210.62x = 728,096,774.34
  5. Step 5: Solve for x
    x = 728,096,774.34/30,210.62
  6. Step 6: Final answer
    x = 24,100.69

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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.