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Finding the Fourth Proportional to 74,896, 112,376.80 and 35,481.28

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Solution

The fourth proportional to 74,896, 112,376.80 and 35,481.28 is: 53,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896 : 112,376.80 = 35,481.28 : x
  2. Step 2: Convert to fraction form
    74,896/112,376.80 = 35,481.28/x
  3. Step 3: Cross multiply
    74,896x = 112,376.80 × 35,481.28
  4. Step 4: Simplify right side
    74,896x = 3,987,272,706.30
  5. Step 5: Solve for x
    x = 3,987,272,706.30/74,896
  6. Step 6: Final answer
    x = 53,237.46

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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.