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Finding the Fourth Proportional to 41,287.61, 61,941.11 and 12,823.11

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Solution

The fourth proportional to 41,287.61, 61,941.11 and 12,823.11 is: 19,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287.61 : 61,941.11 = 12,823.11 : x
  2. Step 2: Convert to fraction form
    41,287.61/61,941.11 = 12,823.11/x
  3. Step 3: Cross multiply
    41,287.61x = 61,941.11 × 12,823.11
  4. Step 4: Simplify right side
    41,287.61x = 794,277,602.94
  5. Step 5: Solve for x
    x = 794,277,602.94/41,287.61
  6. Step 6: Final answer
    x = 19,237.67

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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.