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Finding the Fourth Proportional to 47,197, 70,795.50 and 19,495.72

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Solution

The fourth proportional to 47,197, 70,795.50 and 19,495.72 is: 29,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197 : 70,795.50 = 19,495.72 : x
  2. Step 2: Convert to fraction form
    47,197/70,795.50 = 19,495.72/x
  3. Step 3: Cross multiply
    47,197x = 70,795.50 × 19,495.72
  4. Step 4: Simplify right side
    47,197x = 1,380,209,245.26
  5. Step 5: Solve for x
    x = 1,380,209,245.26/47,197
  6. Step 6: Final answer
    x = 29,243.58

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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.