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Finding the Fourth Proportional to 30,270.73, 41,831.22 and 22,703.93

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Solution

The fourth proportional to 30,270.73, 41,831.22 and 22,703.93 is: 31,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.73 : 41,831.22 = 22,703.93 : x
  2. Step 2: Convert to fraction form
    30,270.73/41,831.22 = 22,703.93/x
  3. Step 3: Cross multiply
    30,270.73x = 41,831.22 × 22,703.93
  4. Step 4: Simplify right side
    30,270.73x = 949,733,090.69
  5. Step 5: Solve for x
    x = 949,733,090.69/30,270.73
  6. Step 6: Final answer
    x = 31,374.63

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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.