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Finding the Fourth Proportional to 82,495.32, 113,838.12 and 46,689

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Solution

The fourth proportional to 82,495.32, 113,838.12 and 46,689 is: 64,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.32 : 113,838.12 = 46,689 : x
  2. Step 2: Convert to fraction form
    82,495.32/113,838.12 = 46,689/x
  3. Step 3: Cross multiply
    82,495.32x = 113,838.12 × 46,689
  4. Step 4: Simplify right side
    82,495.32x = 5,314,987,984.68
  5. Step 5: Solve for x
    x = 5,314,987,984.68/82,495.32
  6. Step 6: Final answer
    x = 64,427.75

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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.