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Finding the Fourth Proportional to 30,200.92, 41,670.56 and 18,264

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Solution

The fourth proportional to 30,200.92, 41,670.56 and 18,264 is: 25,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.92 : 41,670.56 = 18,264 : x
  2. Step 2: Convert to fraction form
    30,200.92/41,670.56 = 18,264/x
  3. Step 3: Cross multiply
    30,200.92x = 41,670.56 × 18,264
  4. Step 4: Simplify right side
    30,200.92x = 761,071,107.84
  5. Step 5: Solve for x
    x = 761,071,107.84/30,200.92
  6. Step 6: Final answer
    x = 25,200.26

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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.