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Finding the Fourth Proportional to 34,258.46, 47,256.95 and 20,108.57

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Solution

The fourth proportional to 34,258.46, 47,256.95 and 20,108.57 is: 27,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258.46 : 47,256.95 = 20,108.57 : x
  2. Step 2: Convert to fraction form
    34,258.46/47,256.95 = 20,108.57/x
  3. Step 3: Cross multiply
    34,258.46x = 47,256.95 × 20,108.57
  4. Step 4: Simplify right side
    34,258.46x = 950,269,501.05
  5. Step 5: Solve for x
    x = 950,269,501.05/34,258.46
  6. Step 6: Final answer
    x = 27,738.25

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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.