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Finding the Fourth Proportional to 31,573.76, 47,315.44 and 23,188

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Solution

The fourth proportional to 31,573.76, 47,315.44 and 23,188 is: 34,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.76 : 47,315.44 = 23,188 : x
  2. Step 2: Convert to fraction form
    31,573.76/47,315.44 = 23,188/x
  3. Step 3: Cross multiply
    31,573.76x = 47,315.44 × 23,188
  4. Step 4: Simplify right side
    31,573.76x = 1,097,150,422.72
  5. Step 5: Solve for x
    x = 1,097,150,422.72/31,573.76
  6. Step 6: Final answer
    x = 34,748.80

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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.