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Finding the Fourth Proportional to 82,511.68, 113,840.02 and 48,509.32

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Solution

The fourth proportional to 82,511.68, 113,840.02 and 48,509.32 is: 66,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.68 : 113,840.02 = 48,509.32 : x
  2. Step 2: Convert to fraction form
    82,511.68/113,840.02 = 48,509.32/x
  3. Step 3: Cross multiply
    82,511.68x = 113,840.02 × 48,509.32
  4. Step 4: Simplify right side
    82,511.68x = 5,522,301,958.99
  5. Step 5: Solve for x
    x = 5,522,301,958.99/82,511.68
  6. Step 6: Final answer
    x = 66,927.52

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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.