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Finding the Fourth Proportional to 98,512.50, 135,947.25 and 53,800.50

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Solution

The fourth proportional to 98,512.50, 135,947.25 and 53,800.50 is: 74,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.50 : 135,947.25 = 53,800.50 : x
  2. Step 2: Convert to fraction form
    98,512.50/135,947.25 = 53,800.50/x
  3. Step 3: Cross multiply
    98,512.50x = 135,947.25 × 53,800.50
  4. Step 4: Simplify right side
    98,512.50x = 7,314,030,023.63
  5. Step 5: Solve for x
    x = 7,314,030,023.63/98,512.50
  6. Step 6: Final answer
    x = 74,244.69

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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.