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Finding the Fourth Proportional to 41,502, 57,272.76 and 22,639.20

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Solution

The fourth proportional to 41,502, 57,272.76 and 22,639.20 is: 31,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,502 : 57,272.76 = 22,639.20 : x
  2. Step 2: Convert to fraction form
    41,502/57,272.76 = 22,639.20/x
  3. Step 3: Cross multiply
    41,502x = 57,272.76 × 22,639.20
  4. Step 4: Simplify right side
    41,502x = 1,296,609,468.19
  5. Step 5: Solve for x
    x = 1,296,609,468.19/41,502
  6. Step 6: Final answer
    x = 31,242.10

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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.