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Finding the Fourth Proportional to 37,162.34, 51,282.16 and 22,055.64

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Solution

The fourth proportional to 37,162.34, 51,282.16 and 22,055.64 is: 30,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162.34 : 51,282.16 = 22,055.64 : x
  2. Step 2: Convert to fraction form
    37,162.34/51,282.16 = 22,055.64/x
  3. Step 3: Cross multiply
    37,162.34x = 51,282.16 × 22,055.64
  4. Step 4: Simplify right side
    37,162.34x = 1,131,060,859.38
  5. Step 5: Solve for x
    x = 1,131,060,859.38/37,162.34
  6. Step 6: Final answer
    x = 30,435.67

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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.