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Finding the Fourth Proportional to 41,546, 57,333.76 and 22,683.36

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Solution

The fourth proportional to 41,546, 57,333.76 and 22,683.36 is: 31,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,546 : 57,333.76 = 22,683.36 : x
  2. Step 2: Convert to fraction form
    41,546/57,333.76 = 22,683.36/x
  3. Step 3: Cross multiply
    41,546x = 57,333.76 × 22,683.36
  4. Step 4: Simplify right side
    41,546x = 1,300,522,318.23
  5. Step 5: Solve for x
    x = 1,300,522,318.23/41,546
  6. Step 6: Final answer
    x = 31,303.19

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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.