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Finding the Fourth Proportional to 47,037.93, 70,519.91 and 32,201.88

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Solution

The fourth proportional to 47,037.93, 70,519.91 and 32,201.88 is: 48,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,037.93 : 70,519.91 = 32,201.88 : x
  2. Step 2: Convert to fraction form
    47,037.93/70,519.91 = 32,201.88/x
  3. Step 3: Cross multiply
    47,037.93x = 70,519.91 × 32,201.88
  4. Step 4: Simplify right side
    47,037.93x = 2,270,873,518.42
  5. Step 5: Solve for x
    x = 2,270,873,518.42/47,037.93
  6. Step 6: Final answer
    x = 48,277.50

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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.