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Finding the Fourth Proportional to 82,441, 113,768.59 and 46,630.24

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Solution

The fourth proportional to 82,441, 113,768.59 and 46,630.24 is: 64,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,441 : 113,768.59 = 46,630.24 : x
  2. Step 2: Convert to fraction form
    82,441/113,768.59 = 46,630.24/x
  3. Step 3: Cross multiply
    82,441x = 113,768.59 × 46,630.24
  4. Step 4: Simplify right side
    82,441x = 5,305,056,656.16
  5. Step 5: Solve for x
    x = 5,305,056,656.16/82,441
  6. Step 6: Final answer
    x = 64,349.74

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