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Finding the Fourth Proportional to 29,459.34, 44,172 and 11,909.88

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Solution

The fourth proportional to 29,459.34, 44,172 and 11,909.88 is: 17,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,459.34 : 44,172 = 11,909.88 : x
  2. Step 2: Convert to fraction form
    29,459.34/44,172 = 11,909.88/x
  3. Step 3: Cross multiply
    29,459.34x = 44,172 × 11,909.88
  4. Step 4: Simplify right side
    29,459.34x = 526,083,219.36
  5. Step 5: Solve for x
    x = 526,083,219.36/29,459.34
  6. Step 6: Final answer
    x = 17,857.94

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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.