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Finding the Fourth Proportional to 41,458.41, 57,154.64 and 35,059.30

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Solution

The fourth proportional to 41,458.41, 57,154.64 and 35,059.30 is: 48,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458.41 : 57,154.64 = 35,059.30 : x
  2. Step 2: Convert to fraction form
    41,458.41/57,154.64 = 35,059.30/x
  3. Step 3: Cross multiply
    41,458.41x = 57,154.64 × 35,059.30
  4. Step 4: Simplify right side
    41,458.41x = 2,003,801,384.38
  5. Step 5: Solve for x
    x = 2,003,801,384.38/41,458.41
  6. Step 6: Final answer
    x = 48,332.81

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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.