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Finding the Fourth Proportional to 98,797.49, 148,196.59 and 23,917.49

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Solution

The fourth proportional to 98,797.49, 148,196.59 and 23,917.49 is: 35,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797.49 : 148,196.59 = 23,917.49 : x
  2. Step 2: Convert to fraction form
    98,797.49/148,196.59 = 23,917.49/x
  3. Step 3: Cross multiply
    98,797.49x = 148,196.59 × 23,917.49
  4. Step 4: Simplify right side
    98,797.49x = 3,544,490,214.32
  5. Step 5: Solve for x
    x = 3,544,490,214.32/98,797.49
  6. Step 6: Final answer
    x = 35,876.32

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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.