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Finding the Fourth Proportional to 34,425.22, 47,512.17 and 19,324

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Solution

The fourth proportional to 34,425.22, 47,512.17 and 19,324 is: 26,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,425.22 : 47,512.17 = 19,324 : x
  2. Step 2: Convert to fraction form
    34,425.22/47,512.17 = 19,324/x
  3. Step 3: Cross multiply
    34,425.22x = 47,512.17 × 19,324
  4. Step 4: Simplify right side
    34,425.22x = 918,125,173.08
  5. Step 5: Solve for x
    x = 918,125,173.08/34,425.22
  6. Step 6: Final answer
    x = 26,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.