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Finding the Fourth Proportional to 29,709.63, 44,567.37 and 8,649.81

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Solution

The fourth proportional to 29,709.63, 44,567.37 and 8,649.81 is: 12,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.63 : 44,567.37 = 8,649.81 : x
  2. Step 2: Convert to fraction form
    29,709.63/44,567.37 = 8,649.81/x
  3. Step 3: Cross multiply
    29,709.63x = 44,567.37 × 8,649.81
  4. Step 4: Simplify right side
    29,709.63x = 385,499,282.70
  5. Step 5: Solve for x
    x = 385,499,282.70/29,709.63
  6. Step 6: Final answer
    x = 12,975.57

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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.