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Finding the Fourth Proportional to 31,495.50, 47,195.64 and 19,001.64

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Solution

The fourth proportional to 31,495.50, 47,195.64 and 19,001.64 is: 28,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.50 : 47,195.64 = 19,001.64 : x
  2. Step 2: Convert to fraction form
    31,495.50/47,195.64 = 19,001.64/x
  3. Step 3: Cross multiply
    31,495.50x = 47,195.64 × 19,001.64
  4. Step 4: Simplify right side
    31,495.50x = 896,794,560.85
  5. Step 5: Solve for x
    x = 896,794,560.85/31,495.50
  6. Step 6: Final answer
    x = 28,473.74

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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.