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Finding the Fourth Proportional to 98,014.83, 147,022.29 and 27,894.12

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Solution

The fourth proportional to 98,014.83, 147,022.29 and 27,894.12 is: 41,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014.83 : 147,022.29 = 27,894.12 : x
  2. Step 2: Convert to fraction form
    98,014.83/147,022.29 = 27,894.12/x
  3. Step 3: Cross multiply
    98,014.83x = 147,022.29 × 27,894.12
  4. Step 4: Simplify right side
    98,014.83x = 4,101,057,399.93
  5. Step 5: Solve for x
    x = 4,101,057,399.93/98,014.83
  6. Step 6: Final answer
    x = 41,841.19

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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.