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Finding the Fourth Proportional to 49,486, 74,161.48 and 22,816.48

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Solution

The fourth proportional to 49,486, 74,161.48 and 22,816.48 is: 34,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,486 : 74,161.48 = 22,816.48 : x
  2. Step 2: Convert to fraction form
    49,486/74,161.48 = 22,816.48/x
  3. Step 3: Cross multiply
    49,486x = 74,161.48 × 22,816.48
  4. Step 4: Simplify right side
    49,486x = 1,692,103,925.19
  5. Step 5: Solve for x
    x = 1,692,103,925.19/49,486
  6. Step 6: Final answer
    x = 34,193.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.