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Finding the Fourth Proportional to 47,714.80, 71,596.80 and 19,655.59

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Solution

The fourth proportional to 47,714.80, 71,596.80 and 19,655.59 is: 29,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.80 : 71,596.80 = 19,655.59 : x
  2. Step 2: Convert to fraction form
    47,714.80/71,596.80 = 19,655.59/x
  3. Step 3: Cross multiply
    47,714.80x = 71,596.80 × 19,655.59
  4. Step 4: Simplify right side
    47,714.80x = 1,407,276,988.13
  5. Step 5: Solve for x
    x = 1,407,276,988.13/47,714.80
  6. Step 6: Final answer
    x = 29,493.51

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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.