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Finding the Fourth Proportional to 47,764.80, 71,650.44 and 12,703.68

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Solution

The fourth proportional to 47,764.80, 71,650.44 and 12,703.68 is: 19,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.80 : 71,650.44 = 12,703.68 : x
  2. Step 2: Convert to fraction form
    47,764.80/71,650.44 = 12,703.68/x
  3. Step 3: Cross multiply
    47,764.80x = 71,650.44 × 12,703.68
  4. Step 4: Simplify right side
    47,764.80x = 910,224,261.62
  5. Step 5: Solve for x
    x = 910,224,261.62/47,764.80
  6. Step 6: Final answer
    x = 19,056.38

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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.