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Finding the Fourth Proportional to 32,154.22, 44,372.73 and 17,814.08

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Solution

The fourth proportional to 32,154.22, 44,372.73 and 17,814.08 is: 24,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.22 : 44,372.73 = 17,814.08 : x
  2. Step 2: Convert to fraction form
    32,154.22/44,372.73 = 17,814.08/x
  3. Step 3: Cross multiply
    32,154.22x = 44,372.73 × 17,814.08
  4. Step 4: Simplify right side
    32,154.22x = 790,459,362.04
  5. Step 5: Solve for x
    x = 790,459,362.04/32,154.22
  6. Step 6: Final answer
    x = 24,583.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.