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Finding the Fourth Proportional to 49,894.81, 74,846.27 and 14,834.50

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Solution

The fourth proportional to 49,894.81, 74,846.27 and 14,834.50 is: 22,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.81 : 74,846.27 = 14,834.50 : x
  2. Step 2: Convert to fraction form
    49,894.81/74,846.27 = 14,834.50/x
  3. Step 3: Cross multiply
    49,894.81x = 74,846.27 × 14,834.50
  4. Step 4: Simplify right side
    49,894.81x = 1,110,306,992.32
  5. Step 5: Solve for x
    x = 1,110,306,992.32/49,894.81
  6. Step 6: Final answer
    x = 22,252.96

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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.