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Finding the Fourth Proportional to 82,336, 113,639.04 and 47,008

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Solution

The fourth proportional to 82,336, 113,639.04 and 47,008 is: 64,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,336 : 113,639.04 = 47,008 : x
  2. Step 2: Convert to fraction form
    82,336/113,639.04 = 47,008/x
  3. Step 3: Cross multiply
    82,336x = 113,639.04 × 47,008
  4. Step 4: Simplify right side
    82,336x = 5,341,943,992.32
  5. Step 5: Solve for x
    x = 5,341,943,992.32/82,336
  6. Step 6: Final answer
    x = 64,879.81

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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.