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Finding the Fourth Proportional to 96,361.44, 132,978.95 and 53,920

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Solution

The fourth proportional to 96,361.44, 132,978.95 and 53,920 is: 74,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,361.44 : 132,978.95 = 53,920 : x
  2. Step 2: Convert to fraction form
    96,361.44/132,978.95 = 53,920/x
  3. Step 3: Cross multiply
    96,361.44x = 132,978.95 × 53,920
  4. Step 4: Simplify right side
    96,361.44x = 7,170,224,984.00
  5. Step 5: Solve for x
    x = 7,170,224,984.00/96,361.44
  6. Step 6: Final answer
    x = 74,409.69

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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.