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Finding the Fourth Proportional to 38,597, 53,227.38 and 25,178.60

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Solution

The fourth proportional to 38,597, 53,227.38 and 25,178.60 is: 34,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597 : 53,227.38 = 25,178.60 : x
  2. Step 2: Convert to fraction form
    38,597/53,227.38 = 25,178.60/x
  3. Step 3: Cross multiply
    38,597x = 53,227.38 × 25,178.60
  4. Step 4: Simplify right side
    38,597x = 1,340,190,910.07
  5. Step 5: Solve for x
    x = 1,340,190,910.07/38,597
  6. Step 6: Final answer
    x = 34,722.67

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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.