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Finding the Fourth Proportional to 98,524.69, 135,964.61 and 53,812.69

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Solution

The fourth proportional to 98,524.69, 135,964.61 and 53,812.69 is: 74,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.69 : 135,964.61 = 53,812.69 : x
  2. Step 2: Convert to fraction form
    98,524.69/135,964.61 = 53,812.69/x
  3. Step 3: Cross multiply
    98,524.69x = 135,964.61 × 53,812.69
  4. Step 4: Simplify right side
    98,524.69x = 7,316,621,001.72
  5. Step 5: Solve for x
    x = 7,316,621,001.72/98,524.69
  6. Step 6: Final answer
    x = 74,261.80

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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.