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Finding the Fourth Proportional to 54,953.44, 75,831.68 and 30,751.22

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Solution

The fourth proportional to 54,953.44, 75,831.68 and 30,751.22 is: 42,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,953.44 : 75,831.68 = 30,751.22 : x
  2. Step 2: Convert to fraction form
    54,953.44/75,831.68 = 30,751.22/x
  3. Step 3: Cross multiply
    54,953.44x = 75,831.68 × 30,751.22
  4. Step 4: Simplify right side
    54,953.44x = 2,331,916,674.65
  5. Step 5: Solve for x
    x = 2,331,916,674.65/54,953.44
  6. Step 6: Final answer
    x = 42,434.41

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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.