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Finding the Fourth Proportional to 30,211.12, 41,696.76 and 17,462.50

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Solution

The fourth proportional to 30,211.12, 41,696.76 and 17,462.50 is: 24,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.12 : 41,696.76 = 17,462.50 : x
  2. Step 2: Convert to fraction form
    30,211.12/41,696.76 = 17,462.50/x
  3. Step 3: Cross multiply
    30,211.12x = 41,696.76 × 17,462.50
  4. Step 4: Simplify right side
    30,211.12x = 728,129,671.50
  5. Step 5: Solve for x
    x = 728,129,671.50/30,211.12
  6. Step 6: Final answer
    x = 24,101.38

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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.