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Finding the Fourth Proportional to 98,419.27, 147,631.17 and 35,243.68

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Solution

The fourth proportional to 98,419.27, 147,631.17 and 35,243.68 is: 52,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419.27 : 147,631.17 = 35,243.68 : x
  2. Step 2: Convert to fraction form
    98,419.27/147,631.17 = 35,243.68/x
  3. Step 3: Cross multiply
    98,419.27x = 147,631.17 × 35,243.68
  4. Step 4: Simplify right side
    98,419.27x = 5,203,065,713.51
  5. Step 5: Solve for x
    x = 5,203,065,713.51/98,419.27
  6. Step 6: Final answer
    x = 52,866.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.