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Finding the Fourth Proportional to 23,048.01, 31,806.48 and 12,974.49

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Solution

The fourth proportional to 23,048.01, 31,806.48 and 12,974.49 is: 17,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.01 : 31,806.48 = 12,974.49 : x
  2. Step 2: Convert to fraction form
    23,048.01/31,806.48 = 12,974.49/x
  3. Step 3: Cross multiply
    23,048.01x = 31,806.48 × 12,974.49
  4. Step 4: Simplify right side
    23,048.01x = 412,672,856.70
  5. Step 5: Solve for x
    x = 412,672,856.70/23,048.01
  6. Step 6: Final answer
    x = 17,904.92

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1.5x scale

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.