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Finding the Fourth Proportional to 29,638.09, 44,457.09 and 13,837.83

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Solution

The fourth proportional to 29,638.09, 44,457.09 and 13,837.83 is: 20,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638.09 : 44,457.09 = 13,837.83 : x
  2. Step 2: Convert to fraction form
    29,638.09/44,457.09 = 13,837.83/x
  3. Step 3: Cross multiply
    29,638.09x = 44,457.09 × 13,837.83
  4. Step 4: Simplify right side
    29,638.09x = 615,189,435.11
  5. Step 5: Solve for x
    x = 615,189,435.11/29,638.09
  6. Step 6: Final answer
    x = 20,756.72

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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.