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Finding the Fourth Proportional to 29,597, 44,401.98 and 11,129

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Solution

The fourth proportional to 29,597, 44,401.98 and 11,129 is: 16,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597 : 44,401.98 = 11,129 : x
  2. Step 2: Convert to fraction form
    29,597/44,401.98 = 11,129/x
  3. Step 3: Cross multiply
    29,597x = 44,401.98 × 11,129
  4. Step 4: Simplify right side
    29,597x = 494,149,635.42
  5. Step 5: Solve for x
    x = 494,149,635.42/29,597
  6. Step 6: Final answer
    x = 16,695.94

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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.