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Finding the Fourth Proportional to 47,824.32, 66,000 and 26,604

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Solution

The fourth proportional to 47,824.32, 66,000 and 26,604 is: 36,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824.32 : 66,000 = 26,604 : x
  2. Step 2: Convert to fraction form
    47,824.32/66,000 = 26,604/x
  3. Step 3: Cross multiply
    47,824.32x = 66,000 × 26,604
  4. Step 4: Simplify right side
    47,824.32x = 1,755,864,000
  5. Step 5: Solve for x
    x = 1,755,864,000/47,824.32
  6. Step 6: Final answer
    x = 36,714.88

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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.