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Finding the Fourth Proportional to 34,617.40, 47,774.64 and 19,511.48

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Solution

The fourth proportional to 34,617.40, 47,774.64 and 19,511.48 is: 26,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617.40 : 47,774.64 = 19,511.48 : x
  2. Step 2: Convert to fraction form
    34,617.40/47,774.64 = 19,511.48/x
  3. Step 3: Cross multiply
    34,617.40x = 47,774.64 × 19,511.48
  4. Step 4: Simplify right side
    34,617.40x = 932,153,960.84
  5. Step 5: Solve for x
    x = 932,153,960.84/34,617.40
  6. Step 6: Final answer
    x = 26,927.32

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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.