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Finding the Fourth Proportional to 34,220.64, 47,223.96 and 19,113.54

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Solution

The fourth proportional to 34,220.64, 47,223.96 and 19,113.54 is: 26,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220.64 : 47,223.96 = 19,113.54 : x
  2. Step 2: Convert to fraction form
    34,220.64/47,223.96 = 19,113.54/x
  3. Step 3: Cross multiply
    34,220.64x = 47,223.96 × 19,113.54
  4. Step 4: Simplify right side
    34,220.64x = 902,617,048.42
  5. Step 5: Solve for x
    x = 902,617,048.42/34,220.64
  6. Step 6: Final answer
    x = 26,376.39

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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.