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Finding the Fourth Proportional to 57,392.14, 86,071.46 and 22,323.46

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Solution

The fourth proportional to 57,392.14, 86,071.46 and 22,323.46 is: 33,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392.14 : 86,071.46 = 22,323.46 : x
  2. Step 2: Convert to fraction form
    57,392.14/86,071.46 = 22,323.46/x
  3. Step 3: Cross multiply
    57,392.14x = 86,071.46 × 22,323.46
  4. Step 4: Simplify right side
    57,392.14x = 1,921,412,794.45
  5. Step 5: Solve for x
    x = 1,921,412,794.45/57,392.14
  6. Step 6: Final answer
    x = 33,478.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.