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Finding the Fourth Proportional to 34,220.78, 47,223.72 and 19,113

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Solution

The fourth proportional to 34,220.78, 47,223.72 and 19,113 is: 26,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220.78 : 47,223.72 = 19,113 : x
  2. Step 2: Convert to fraction form
    34,220.78/47,223.72 = 19,113/x
  3. Step 3: Cross multiply
    34,220.78x = 47,223.72 × 19,113
  4. Step 4: Simplify right side
    34,220.78x = 902,586,960.36
  5. Step 5: Solve for x
    x = 902,586,960.36/34,220.78
  6. Step 6: Final answer
    x = 26,375.40

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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.