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Finding the Fourth Proportional to 34,165.95, 47,149.08 and 19,058.22

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Solution

The fourth proportional to 34,165.95, 47,149.08 and 19,058.22 is: 26,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.95 : 47,149.08 = 19,058.22 : x
  2. Step 2: Convert to fraction form
    34,165.95/47,149.08 = 19,058.22/x
  3. Step 3: Cross multiply
    34,165.95x = 47,149.08 × 19,058.22
  4. Step 4: Simplify right side
    34,165.95x = 898,577,539.44
  5. Step 5: Solve for x
    x = 898,577,539.44/34,165.95
  6. Step 6: Final answer
    x = 26,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.