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Finding the Fourth Proportional to 34,317, 47,325.06 and 22,389.48

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Solution

The fourth proportional to 34,317, 47,325.06 and 22,389.48 is: 30,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317 : 47,325.06 = 22,389.48 : x
  2. Step 2: Convert to fraction form
    34,317/47,325.06 = 22,389.48/x
  3. Step 3: Cross multiply
    34,317x = 47,325.06 × 22,389.48
  4. Step 4: Simplify right side
    34,317x = 1,059,583,484.37
  5. Step 5: Solve for x
    x = 1,059,583,484.37/34,317
  6. Step 6: Final answer
    x = 30,876.34

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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.