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Finding the Fourth Proportional to 98,532.75, 135,975.21 and 53,820.75

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Solution

The fourth proportional to 98,532.75, 135,975.21 and 53,820.75 is: 74,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532.75 : 135,975.21 = 53,820.75 : x
  2. Step 2: Convert to fraction form
    98,532.75/135,975.21 = 53,820.75/x
  3. Step 3: Cross multiply
    98,532.75x = 135,975.21 × 53,820.75
  4. Step 4: Simplify right side
    98,532.75x = 7,318,287,783.61
  5. Step 5: Solve for x
    x = 7,318,287,783.61/98,532.75
  6. Step 6: Final answer
    x = 74,272.64

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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.