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Finding the Fourth Proportional to 49,847.46, 74,758.50 and 14,778.96

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Solution

The fourth proportional to 49,847.46, 74,758.50 and 14,778.96 is: 22,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,847.46 : 74,758.50 = 14,778.96 : x
  2. Step 2: Convert to fraction form
    49,847.46/74,758.50 = 14,778.96/x
  3. Step 3: Cross multiply
    49,847.46x = 74,758.50 × 14,778.96
  4. Step 4: Simplify right side
    49,847.46x = 1,104,852,881.16
  5. Step 5: Solve for x
    x = 1,104,852,881.16/49,847.46
  6. Step 6: Final answer
    x = 22,164.68

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