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Finding the Fourth Proportional to 29,370, 40,512.16 and 17,424.88

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Solution

The fourth proportional to 29,370, 40,512.16 and 17,424.88 is: 24,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,370 : 40,512.16 = 17,424.88 : x
  2. Step 2: Convert to fraction form
    29,370/40,512.16 = 17,424.88/x
  3. Step 3: Cross multiply
    29,370x = 40,512.16 × 17,424.88
  4. Step 4: Simplify right side
    29,370x = 705,919,526.54
  5. Step 5: Solve for x
    x = 705,919,526.54/29,370
  6. Step 6: Final answer
    x = 24,035.39

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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.