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Finding the Fourth Proportional to 34,091.08, 47,042.34 and 19,941.16

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Solution

The fourth proportional to 34,091.08, 47,042.34 and 19,941.16 is: 27,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,091.08 : 47,042.34 = 19,941.16 : x
  2. Step 2: Convert to fraction form
    34,091.08/47,042.34 = 19,941.16/x
  3. Step 3: Cross multiply
    34,091.08x = 47,042.34 × 19,941.16
  4. Step 4: Simplify right side
    34,091.08x = 938,078,828.71
  5. Step 5: Solve for x
    x = 938,078,828.71/34,091.08
  6. Step 6: Final answer
    x = 27,516.84

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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.