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Finding the Fourth Proportional to 30,728.30, 42,402.32 and 17,115.30

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Solution

The fourth proportional to 30,728.30, 42,402.32 and 17,115.30 is: 23,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.30 : 42,402.32 = 17,115.30 : x
  2. Step 2: Convert to fraction form
    30,728.30/42,402.32 = 17,115.30/x
  3. Step 3: Cross multiply
    30,728.30x = 42,402.32 × 17,115.30
  4. Step 4: Simplify right side
    30,728.30x = 725,728,427.50
  5. Step 5: Solve for x
    x = 725,728,427.50/30,728.30
  6. Step 6: Final answer
    x = 23,617.59

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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.