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Finding the Fourth Proportional to 41,346.42, 57,055.77 and 22,483.38

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Solution

The fourth proportional to 41,346.42, 57,055.77 and 22,483.38 is: 31,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,346.42 : 57,055.77 = 22,483.38 : x
  2. Step 2: Convert to fraction form
    41,346.42/57,055.77 = 22,483.38/x
  3. Step 3: Cross multiply
    41,346.42x = 57,055.77 × 22,483.38
  4. Step 4: Simplify right side
    41,346.42x = 1,282,806,558.10
  5. Step 5: Solve for x
    x = 1,282,806,558.10/41,346.42
  6. Step 6: Final answer
    x = 31,025.82

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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.