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Finding the Fourth Proportional to 35,573.50, 49,095.75 and 20,669.50

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Solution

The fourth proportional to 35,573.50, 49,095.75 and 20,669.50 is: 28,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,573.50 : 49,095.75 = 20,669.50 : x
  2. Step 2: Convert to fraction form
    35,573.50/49,095.75 = 20,669.50/x
  3. Step 3: Cross multiply
    35,573.50x = 49,095.75 × 20,669.50
  4. Step 4: Simplify right side
    35,573.50x = 1,014,784,604.63
  5. Step 5: Solve for x
    x = 1,014,784,604.63/35,573.50
  6. Step 6: Final answer
    x = 28,526.42

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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.