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Finding the Fourth Proportional to 31,972, 47,975.28 and 15,556

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Solution

The fourth proportional to 31,972, 47,975.28 and 15,556 is: 23,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 47,975.28 = 15,556 : x
  2. Step 2: Convert to fraction form
    31,972/47,975.28 = 15,556/x
  3. Step 3: Cross multiply
    31,972x = 47,975.28 × 15,556
  4. Step 4: Simplify right side
    31,972x = 746,303,455.68
  5. Step 5: Solve for x
    x = 746,303,455.68/31,972
  6. Step 6: Final answer
    x = 23,342.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.