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Finding the Fourth Proportional to 41,068, 56,674 and 22,205.28

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Solution

The fourth proportional to 41,068, 56,674 and 22,205.28 is: 30,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,068 : 56,674 = 22,205.28 : x
  2. Step 2: Convert to fraction form
    41,068/56,674 = 22,205.28/x
  3. Step 3: Cross multiply
    41,068x = 56,674 × 22,205.28
  4. Step 4: Simplify right side
    41,068x = 1,258,462,038.72
  5. Step 5: Solve for x
    x = 1,258,462,038.72/41,068
  6. Step 6: Final answer
    x = 30,643.37

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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.