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Finding the Fourth Proportional to 98,524.78, 135,964.14 and 53,812.78

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Solution

The fourth proportional to 98,524.78, 135,964.14 and 53,812.78 is: 74,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.78 : 135,964.14 = 53,812.78 : x
  2. Step 2: Convert to fraction form
    98,524.78/135,964.14 = 53,812.78/x
  3. Step 3: Cross multiply
    98,524.78x = 135,964.14 × 53,812.78
  4. Step 4: Simplify right side
    98,524.78x = 7,316,608,353.71
  5. Step 5: Solve for x
    x = 7,316,608,353.71/98,524.78
  6. Step 6: Final answer
    x = 74,261.61

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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.