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Finding the Fourth Proportional to 47,677.78, 65,819.84 and 33,593.50

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Solution

The fourth proportional to 47,677.78, 65,819.84 and 33,593.50 is: 46,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.78 : 65,819.84 = 33,593.50 : x
  2. Step 2: Convert to fraction form
    47,677.78/65,819.84 = 33,593.50/x
  3. Step 3: Cross multiply
    47,677.78x = 65,819.84 × 33,593.50
  4. Step 4: Simplify right side
    47,677.78x = 2,211,118,795.04
  5. Step 5: Solve for x
    x = 2,211,118,795.04/47,677.78
  6. Step 6: Final answer
    x = 46,376.30

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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.