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Finding the Fourth Proportional to 98,064.60, 147,102.44 and 27,949.36

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Solution

The fourth proportional to 98,064.60, 147,102.44 and 27,949.36 is: 41,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.60 : 147,102.44 = 27,949.36 : x
  2. Step 2: Convert to fraction form
    98,064.60/147,102.44 = 27,949.36/x
  3. Step 3: Cross multiply
    98,064.60x = 147,102.44 × 27,949.36
  4. Step 4: Simplify right side
    98,064.60x = 4,111,419,052.44
  5. Step 5: Solve for x
    x = 4,111,419,052.44/98,064.60
  6. Step 6: Final answer
    x = 41,925.62

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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.