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Finding the Fourth Proportional to 98,055.82, 147,059.43 and 27,935.74

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Solution

The fourth proportional to 98,055.82, 147,059.43 and 27,935.74 is: 41,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,055.82 : 147,059.43 = 27,935.74 : x
  2. Step 2: Convert to fraction form
    98,055.82/147,059.43 = 27,935.74/x
  3. Step 3: Cross multiply
    98,055.82x = 147,059.43 × 27,935.74
  4. Step 4: Simplify right side
    98,055.82x = 4,108,214,001.03
  5. Step 5: Solve for x
    x = 4,108,214,001.03/98,055.82
  6. Step 6: Final answer
    x = 41,896.69

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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.