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Finding the Fourth Proportional to 30,941.25, 42,699.95 and 17,512.35

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Solution

The fourth proportional to 30,941.25, 42,699.95 and 17,512.35 is: 24,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.25 : 42,699.95 = 17,512.35 : x
  2. Step 2: Convert to fraction form
    30,941.25/42,699.95 = 17,512.35/x
  3. Step 3: Cross multiply
    30,941.25x = 42,699.95 × 17,512.35
  4. Step 4: Simplify right side
    30,941.25x = 747,776,469.38
  5. Step 5: Solve for x
    x = 747,776,469.38/30,941.25
  6. Step 6: Final answer
    x = 24,167.62

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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.