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Finding the Fourth Proportional to 41,341.42, 57,048.74 and 22,478.38

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Solution

The fourth proportional to 41,341.42, 57,048.74 and 22,478.38 is: 31,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,341.42 : 57,048.74 = 22,478.38 : x
  2. Step 2: Convert to fraction form
    41,341.42/57,048.74 = 22,478.38/x
  3. Step 3: Cross multiply
    41,341.42x = 57,048.74 × 22,478.38
  4. Step 4: Simplify right side
    41,341.42x = 1,282,363,256.24
  5. Step 5: Solve for x
    x = 1,282,363,256.24/41,341.42
  6. Step 6: Final answer
    x = 31,018.85

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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.