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Finding the Fourth Proportional to 31,756.44, 47,631.28 and 13,038.44

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Solution

The fourth proportional to 31,756.44, 47,631.28 and 13,038.44 is: 19,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.44 : 47,631.28 = 13,038.44 : x
  2. Step 2: Convert to fraction form
    31,756.44/47,631.28 = 13,038.44/x
  3. Step 3: Cross multiply
    31,756.44x = 47,631.28 × 13,038.44
  4. Step 4: Simplify right side
    31,756.44x = 621,037,586.40
  5. Step 5: Solve for x
    x = 621,037,586.40/31,756.44
  6. Step 6: Final answer
    x = 19,556.27

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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.