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Finding the Fourth Proportional to 50,441.67, 75,663.72 and 13,002.66

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Solution

The fourth proportional to 50,441.67, 75,663.72 and 13,002.66 is: 19,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,441.67 : 75,663.72 = 13,002.66 : x
  2. Step 2: Convert to fraction form
    50,441.67/75,663.72 = 13,002.66/x
  3. Step 3: Cross multiply
    50,441.67x = 75,663.72 × 13,002.66
  4. Step 4: Simplify right side
    50,441.67x = 983,829,625.50
  5. Step 5: Solve for x
    x = 983,829,625.50/50,441.67
  6. Step 6: Final answer
    x = 19,504.30

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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.