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Finding the Fourth Proportional to 29,541.41, 44,303.91 and 8,189.02

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Solution

The fourth proportional to 29,541.41, 44,303.91 and 8,189.02 is: 12,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.41 : 44,303.91 = 8,189.02 : x
  2. Step 2: Convert to fraction form
    29,541.41/44,303.91 = 8,189.02/x
  3. Step 3: Cross multiply
    29,541.41x = 44,303.91 × 8,189.02
  4. Step 4: Simplify right side
    29,541.41x = 362,805,800.41
  5. Step 5: Solve for x
    x = 362,805,800.41/29,541.41
  6. Step 6: Final answer
    x = 12,281.26

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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.