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Finding the Fourth Proportional to 81,911.75, 113,038.47 and 46,102.32

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Solution

The fourth proportional to 81,911.75, 113,038.47 and 46,102.32 is: 63,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,911.75 : 113,038.47 = 46,102.32 : x
  2. Step 2: Convert to fraction form
    81,911.75/113,038.47 = 46,102.32/x
  3. Step 3: Cross multiply
    81,911.75x = 113,038.47 × 46,102.32
  4. Step 4: Simplify right side
    81,911.75x = 5,211,335,716.25
  5. Step 5: Solve for x
    x = 5,211,335,716.25/81,911.75
  6. Step 6: Final answer
    x = 63,621.35

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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.