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Finding the Fourth Proportional to 98,962.86, 136,568.25 and 53,640.66

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Solution

The fourth proportional to 98,962.86, 136,568.25 and 53,640.66 is: 74,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,962.86 : 136,568.25 = 53,640.66 : x
  2. Step 2: Convert to fraction form
    98,962.86/136,568.25 = 53,640.66/x
  3. Step 3: Cross multiply
    98,962.86x = 136,568.25 × 53,640.66
  4. Step 4: Simplify right side
    98,962.86x = 7,325,611,065.05
  5. Step 5: Solve for x
    x = 7,325,611,065.05/98,962.86
  6. Step 6: Final answer
    x = 74,023.84

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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.