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Finding the Fourth Proportional to 41,583, 57,385.82 and 22,721.36

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Solution

The fourth proportional to 41,583, 57,385.82 and 22,721.36 is: 31,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583 : 57,385.82 = 22,721.36 : x
  2. Step 2: Convert to fraction form
    41,583/57,385.82 = 22,721.36/x
  3. Step 3: Cross multiply
    41,583x = 57,385.82 × 22,721.36
  4. Step 4: Simplify right side
    41,583x = 1,303,883,875.12
  5. Step 5: Solve for x
    x = 1,303,883,875.12/41,583
  6. Step 6: Final answer
    x = 31,356.18

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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.