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Finding the Fourth Proportional to 36,840.30, 55,263.98 and 14,648.73

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Solution

The fourth proportional to 36,840.30, 55,263.98 and 14,648.73 is: 21,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,840.30 : 55,263.98 = 14,648.73 : x
  2. Step 2: Convert to fraction form
    36,840.30/55,263.98 = 14,648.73/x
  3. Step 3: Cross multiply
    36,840.30x = 55,263.98 × 14,648.73
  4. Step 4: Simplify right side
    36,840.30x = 809,547,121.75
  5. Step 5: Solve for x
    x = 809,547,121.75/36,840.30
  6. Step 6: Final answer
    x = 21,974.50

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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.