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Finding the Fourth Proportional to 29,347.81, 44,022.13 and 7,161.60

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Solution

The fourth proportional to 29,347.81, 44,022.13 and 7,161.60 is: 10,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,347.81 : 44,022.13 = 7,161.60 : x
  2. Step 2: Convert to fraction form
    29,347.81/44,022.13 = 7,161.60/x
  3. Step 3: Cross multiply
    29,347.81x = 44,022.13 × 7,161.60
  4. Step 4: Simplify right side
    29,347.81x = 315,268,886.21
  5. Step 5: Solve for x
    x = 315,268,886.21/29,347.81
  6. Step 6: Final answer
    x = 10,742.50

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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.