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Finding the Fourth Proportional to 82,398.65, 113,693.37 and 48,412.67

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Solution

The fourth proportional to 82,398.65, 113,693.37 and 48,412.67 is: 66,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398.65 : 113,693.37 = 48,412.67 : x
  2. Step 2: Convert to fraction form
    82,398.65/113,693.37 = 48,412.67/x
  3. Step 3: Cross multiply
    82,398.65x = 113,693.37 × 48,412.67
  4. Step 4: Simplify right side
    82,398.65x = 5,504,199,603.00
  5. Step 5: Solve for x
    x = 5,504,199,603.00/82,398.65
  6. Step 6: Final answer
    x = 66,799.63

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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.