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Finding the Fourth Proportional to 26,705.50, 40,058.79 and 8,237.50

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Solution

The fourth proportional to 26,705.50, 40,058.79 and 8,237.50 is: 12,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.50 : 40,058.79 = 8,237.50 : x
  2. Step 2: Convert to fraction form
    26,705.50/40,058.79 = 8,237.50/x
  3. Step 3: Cross multiply
    26,705.50x = 40,058.79 × 8,237.50
  4. Step 4: Simplify right side
    26,705.50x = 329,984,282.63
  5. Step 5: Solve for x
    x = 329,984,282.63/26,705.50
  6. Step 6: Final answer
    x = 12,356.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.