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Finding the Fourth Proportional to 29,706.96, 44,559.60 and 9,986.64

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Solution

The fourth proportional to 29,706.96, 44,559.60 and 9,986.64 is: 14,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.96 : 44,559.60 = 9,986.64 : x
  2. Step 2: Convert to fraction form
    29,706.96/44,559.60 = 9,986.64/x
  3. Step 3: Cross multiply
    29,706.96x = 44,559.60 × 9,986.64
  4. Step 4: Simplify right side
    29,706.96x = 445,000,683.74
  5. Step 5: Solve for x
    x = 445,000,683.74/29,706.96
  6. Step 6: Final answer
    x = 14,979.68

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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.