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Finding the Fourth Proportional to 30,307.68, 41,826.29 and 18,211.86

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Solution

The fourth proportional to 30,307.68, 41,826.29 and 18,211.86 is: 25,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.68 : 41,826.29 = 18,211.86 : x
  2. Step 2: Convert to fraction form
    30,307.68/41,826.29 = 18,211.86/x
  3. Step 3: Cross multiply
    30,307.68x = 41,826.29 × 18,211.86
  4. Step 4: Simplify right side
    30,307.68x = 761,734,446.74
  5. Step 5: Solve for x
    x = 761,734,446.74/30,307.68
  6. Step 6: Final answer
    x = 25,133.38

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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.