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Finding the Fourth Proportional to 51,162.63, 76,743.83 and 19,575.81

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Solution

The fourth proportional to 51,162.63, 76,743.83 and 19,575.81 is: 29,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.63 : 76,743.83 = 19,575.81 : x
  2. Step 2: Convert to fraction form
    51,162.63/76,743.83 = 19,575.81/x
  3. Step 3: Cross multiply
    51,162.63x = 76,743.83 × 19,575.81
  4. Step 4: Simplify right side
    51,162.63x = 1,502,322,536.87
  5. Step 5: Solve for x
    x = 1,502,322,536.87/51,162.63
  6. Step 6: Final answer
    x = 29,363.67

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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.