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Finding the Fourth Proportional to 49,488, 74,164.48 and 22,818.48

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Solution

The fourth proportional to 49,488, 74,164.48 and 22,818.48 is: 34,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,488 : 74,164.48 = 22,818.48 : x
  2. Step 2: Convert to fraction form
    49,488/74,164.48 = 22,818.48/x
  3. Step 3: Cross multiply
    49,488x = 74,164.48 × 22,818.48
  4. Step 4: Simplify right side
    49,488x = 1,692,320,703.59
  5. Step 5: Solve for x
    x = 1,692,320,703.59/49,488
  6. Step 6: Final answer
    x = 34,196.59

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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.