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Finding the Fourth Proportional to 30,430.92, 41,996.61 and 17,004

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Solution

The fourth proportional to 30,430.92, 41,996.61 and 17,004 is: 23,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.92 : 41,996.61 = 17,004 : x
  2. Step 2: Convert to fraction form
    30,430.92/41,996.61 = 17,004/x
  3. Step 3: Cross multiply
    30,430.92x = 41,996.61 × 17,004
  4. Step 4: Simplify right side
    30,430.92x = 714,110,356.44
  5. Step 5: Solve for x
    x = 714,110,356.44/30,430.92
  6. Step 6: Final answer
    x = 23,466.60

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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.