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Finding the Fourth Proportional to 50,005.76, 75,008.16 and 13,069.76

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Solution

The fourth proportional to 50,005.76, 75,008.16 and 13,069.76 is: 19,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005.76 : 75,008.16 = 13,069.76 : x
  2. Step 2: Convert to fraction form
    50,005.76/75,008.16 = 13,069.76/x
  3. Step 3: Cross multiply
    50,005.76x = 75,008.16 × 13,069.76
  4. Step 4: Simplify right side
    50,005.76x = 980,338,649.24
  5. Step 5: Solve for x
    x = 980,338,649.24/50,005.76
  6. Step 6: Final answer
    x = 19,604.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.