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Finding the Fourth Proportional to 34,971.60, 48,260.82 and 19,056

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Solution

The fourth proportional to 34,971.60, 48,260.82 and 19,056 is: 26,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,971.60 : 48,260.82 = 19,056 : x
  2. Step 2: Convert to fraction form
    34,971.60/48,260.82 = 19,056/x
  3. Step 3: Cross multiply
    34,971.60x = 48,260.82 × 19,056
  4. Step 4: Simplify right side
    34,971.60x = 919,658,185.92
  5. Step 5: Solve for x
    x = 919,658,185.92/34,971.60
  6. Step 6: Final answer
    x = 26,297.29

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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.