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Finding the Fourth Proportional to 35,234.32, 52,859.28 and 11,860

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Solution

The fourth proportional to 35,234.32, 52,859.28 and 11,860 is: 17,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,234.32 : 52,859.28 = 11,860 : x
  2. Step 2: Convert to fraction form
    35,234.32/52,859.28 = 11,860/x
  3. Step 3: Cross multiply
    35,234.32x = 52,859.28 × 11,860
  4. Step 4: Simplify right side
    35,234.32x = 626,911,060.80
  5. Step 5: Solve for x
    x = 626,911,060.80/35,234.32
  6. Step 6: Final answer
    x = 17,792.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.