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Finding the Fourth Proportional to 56,400.05, 77,831.82 and 30,906.38

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Solution

The fourth proportional to 56,400.05, 77,831.82 and 30,906.38 is: 42,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400.05 : 77,831.82 = 30,906.38 : x
  2. Step 2: Convert to fraction form
    56,400.05/77,831.82 = 30,906.38/x
  3. Step 3: Cross multiply
    56,400.05x = 77,831.82 × 30,906.38
  4. Step 4: Simplify right side
    56,400.05x = 2,405,499,805.01
  5. Step 5: Solve for x
    x = 2,405,499,805.01/56,400.05
  6. Step 6: Final answer
    x = 42,650.67

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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.