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Finding the Fourth Proportional to 81,966.98, 113,113.32 and 46,157.42

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Solution

The fourth proportional to 81,966.98, 113,113.32 and 46,157.42 is: 63,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,966.98 : 113,113.32 = 46,157.42 : x
  2. Step 2: Convert to fraction form
    81,966.98/113,113.32 = 46,157.42/x
  3. Step 3: Cross multiply
    81,966.98x = 113,113.32 × 46,157.42
  4. Step 4: Simplify right side
    81,966.98x = 5,221,019,018.83
  5. Step 5: Solve for x
    x = 5,221,019,018.83/81,966.98
  6. Step 6: Final answer
    x = 63,696.61

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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.