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Finding the Fourth Proportional to 81,855.40, 112,893.06 and 48,289

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Solution

The fourth proportional to 81,855.40, 112,893.06 and 48,289 is: 66,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.40 : 112,893.06 = 48,289 : x
  2. Step 2: Convert to fraction form
    81,855.40/112,893.06 = 48,289/x
  3. Step 3: Cross multiply
    81,855.40x = 112,893.06 × 48,289
  4. Step 4: Simplify right side
    81,855.40x = 5,451,492,974.34
  5. Step 5: Solve for x
    x = 5,451,492,974.34/81,855.40
  6. Step 6: Final answer
    x = 66,599.06

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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.