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Finding the Fourth Proportional to 98,531.25, 135,973.14 and 53,819.25

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Solution

The fourth proportional to 98,531.25, 135,973.14 and 53,819.25 is: 74,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,531.25 : 135,973.14 = 53,819.25 : x
  2. Step 2: Convert to fraction form
    98,531.25/135,973.14 = 53,819.25/x
  3. Step 3: Cross multiply
    98,531.25x = 135,973.14 × 53,819.25
  4. Step 4: Simplify right side
    98,531.25x = 7,317,972,414.95
  5. Step 5: Solve for x
    x = 7,317,972,414.95/98,531.25
  6. Step 6: Final answer
    x = 74,270.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.