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Finding the Fourth Proportional to 47,200.88, 70,801.32 and 19,499.60

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Solution

The fourth proportional to 47,200.88, 70,801.32 and 19,499.60 is: 29,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.88 : 70,801.32 = 19,499.60 : x
  2. Step 2: Convert to fraction form
    47,200.88/70,801.32 = 19,499.60/x
  3. Step 3: Cross multiply
    47,200.88x = 70,801.32 × 19,499.60
  4. Step 4: Simplify right side
    47,200.88x = 1,380,597,065.47
  5. Step 5: Solve for x
    x = 1,380,597,065.47/47,200.88
  6. Step 6: Final answer
    x = 29,249.40

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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.