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Finding the Fourth Proportional to 98,674.61, 148,021.25 and 27,597.25

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Solution

The fourth proportional to 98,674.61, 148,021.25 and 27,597.25 is: 41,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,674.61 : 148,021.25 = 27,597.25 : x
  2. Step 2: Convert to fraction form
    98,674.61/148,021.25 = 27,597.25/x
  3. Step 3: Cross multiply
    98,674.61x = 148,021.25 × 27,597.25
  4. Step 4: Simplify right side
    98,674.61x = 4,084,979,441.56
  5. Step 5: Solve for x
    x = 4,084,979,441.56/98,674.61
  6. Step 6: Final answer
    x = 41,398.49

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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.