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Finding the Fourth Proportional to 42,093.99, 58,071.35 and 27,735.40

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Solution

The fourth proportional to 42,093.99, 58,071.35 and 27,735.40 is: 38,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,093.99 : 58,071.35 = 27,735.40 : x
  2. Step 2: Convert to fraction form
    42,093.99/58,071.35 = 27,735.40/x
  3. Step 3: Cross multiply
    42,093.99x = 58,071.35 × 27,735.40
  4. Step 4: Simplify right side
    42,093.99x = 1,610,632,120.79
  5. Step 5: Solve for x
    x = 1,610,632,120.79/42,093.99
  6. Step 6: Final answer
    x = 38,262.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.