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Finding the Fourth Proportional to 34,409.50, 47,499.68 and 20,985.57

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Solution

The fourth proportional to 34,409.50, 47,499.68 and 20,985.57 is: 28,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.50 : 47,499.68 = 20,985.57 : x
  2. Step 2: Convert to fraction form
    34,409.50/47,499.68 = 20,985.57/x
  3. Step 3: Cross multiply
    34,409.50x = 47,499.68 × 20,985.57
  4. Step 4: Simplify right side
    34,409.50x = 996,807,859.62
  5. Step 5: Solve for x
    x = 996,807,859.62/34,409.50
  6. Step 6: Final answer
    x = 28,968.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.