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Finding the Fourth Proportional to 39,313.06, 58,978.70 and 11,233.48

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Solution

The fourth proportional to 39,313.06, 58,978.70 and 11,233.48 is: 16,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,313.06 : 58,978.70 = 11,233.48 : x
  2. Step 2: Convert to fraction form
    39,313.06/58,978.70 = 11,233.48/x
  3. Step 3: Cross multiply
    39,313.06x = 58,978.70 × 11,233.48
  4. Step 4: Simplify right side
    39,313.06x = 662,536,046.88
  5. Step 5: Solve for x
    x = 662,536,046.88/39,313.06
  6. Step 6: Final answer
    x = 16,852.82

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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.