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Finding the Fourth Proportional to 98,533.25, 135,975.90 and 53,821.25

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Solution

The fourth proportional to 98,533.25, 135,975.90 and 53,821.25 is: 74,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.25 : 135,975.90 = 53,821.25 : x
  2. Step 2: Convert to fraction form
    98,533.25/135,975.90 = 53,821.25/x
  3. Step 3: Cross multiply
    98,533.25x = 135,975.90 × 53,821.25
  4. Step 4: Simplify right side
    98,533.25x = 7,318,392,907.88
  5. Step 5: Solve for x
    x = 7,318,392,907.88/98,533.25
  6. Step 6: Final answer
    x = 74,273.33

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1.5x scale

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.