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Finding the Fourth Proportional to 98,022, 135,272.52 and 53,310

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Solution

The fourth proportional to 98,022, 135,272.52 and 53,310 is: 73,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,022 : 135,272.52 = 53,310 : x
  2. Step 2: Convert to fraction form
    98,022/135,272.52 = 53,310/x
  3. Step 3: Cross multiply
    98,022x = 135,272.52 × 53,310
  4. Step 4: Simplify right side
    98,022x = 7,211,378,041.20
  5. Step 5: Solve for x
    x = 7,211,378,041.20/98,022
  6. Step 6: Final answer
    x = 73,568.97

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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.