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Finding the Fourth Proportional to 98,015.58, 147,023.43 and 27,894.87

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Solution

The fourth proportional to 98,015.58, 147,023.43 and 27,894.87 is: 41,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.58 : 147,023.43 = 27,894.87 : x
  2. Step 2: Convert to fraction form
    98,015.58/147,023.43 = 27,894.87/x
  3. Step 3: Cross multiply
    98,015.58x = 147,023.43 × 27,894.87
  4. Step 4: Simplify right side
    98,015.58x = 4,101,199,466.80
  5. Step 5: Solve for x
    x = 4,101,199,466.80/98,015.58
  6. Step 6: Final answer
    x = 41,842.32

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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.