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Finding the Fourth Proportional to 29,045.96, 43,495.02 and 20,287.02

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Solution

The fourth proportional to 29,045.96, 43,495.02 and 20,287.02 is: 30,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,045.96 : 43,495.02 = 20,287.02 : x
  2. Step 2: Convert to fraction form
    29,045.96/43,495.02 = 20,287.02/x
  3. Step 3: Cross multiply
    29,045.96x = 43,495.02 × 20,287.02
  4. Step 4: Simplify right side
    29,045.96x = 882,384,340.64
  5. Step 5: Solve for x
    x = 882,384,340.64/29,045.96
  6. Step 6: Final answer
    x = 30,378.90

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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.