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Finding the Fourth Proportional to 82,405.34, 113,720.26 and 48,415.26

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Solution

The fourth proportional to 82,405.34, 113,720.26 and 48,415.26 is: 66,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.34 : 113,720.26 = 48,415.26 : x
  2. Step 2: Convert to fraction form
    82,405.34/113,720.26 = 48,415.26/x
  3. Step 3: Cross multiply
    82,405.34x = 113,720.26 × 48,415.26
  4. Step 4: Simplify right side
    82,405.34x = 5,505,795,955.17
  5. Step 5: Solve for x
    x = 5,505,795,955.17/82,405.34
  6. Step 6: Final answer
    x = 66,813.58

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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.