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Finding the Fourth Proportional to 98,675.11, 148,022 and 27,597.75

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Solution

The fourth proportional to 98,675.11, 148,022 and 27,597.75 is: 41,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,675.11 : 148,022 = 27,597.75 : x
  2. Step 2: Convert to fraction form
    98,675.11/148,022 = 27,597.75/x
  3. Step 3: Cross multiply
    98,675.11x = 148,022 × 27,597.75
  4. Step 4: Simplify right side
    98,675.11x = 4,085,074,150.50
  5. Step 5: Solve for x
    x = 4,085,074,150.50/98,675.11
  6. Step 6: Final answer
    x = 41,399.24

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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.