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Finding the Fourth Proportional to 30,700.32, 42,363.24 and 17,270.43

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Solution

The fourth proportional to 30,700.32, 42,363.24 and 17,270.43 is: 23,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.32 : 42,363.24 = 17,270.43 : x
  2. Step 2: Convert to fraction form
    30,700.32/42,363.24 = 17,270.43/x
  3. Step 3: Cross multiply
    30,700.32x = 42,363.24 × 17,270.43
  4. Step 4: Simplify right side
    30,700.32x = 731,631,370.99
  5. Step 5: Solve for x
    x = 731,631,370.99/30,700.32
  6. Step 6: Final answer
    x = 23,831.39

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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.