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Finding the Fourth Proportional to 34,165.89, 47,149 and 19,058.16

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Solution

The fourth proportional to 34,165.89, 47,149 and 19,058.16 is: 26,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.89 : 47,149 = 19,058.16 : x
  2. Step 2: Convert to fraction form
    34,165.89/47,149 = 19,058.16/x
  3. Step 3: Cross multiply
    34,165.89x = 47,149 × 19,058.16
  4. Step 4: Simplify right side
    34,165.89x = 898,573,185.84
  5. Step 5: Solve for x
    x = 898,573,185.84/34,165.89
  6. Step 6: Final answer
    x = 26,300.30

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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.