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Finding the Fourth Proportional to 29,706.72, 44,550.74 and 9,980.65

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Solution

The fourth proportional to 29,706.72, 44,550.74 and 9,980.65 is: 14,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.72 : 44,550.74 = 9,980.65 : x
  2. Step 2: Convert to fraction form
    29,706.72/44,550.74 = 9,980.65/x
  3. Step 3: Cross multiply
    29,706.72x = 44,550.74 × 9,980.65
  4. Step 4: Simplify right side
    29,706.72x = 444,645,423.82
  5. Step 5: Solve for x
    x = 444,645,423.82/29,706.72
  6. Step 6: Final answer
    x = 14,967.84

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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.