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Finding the Fourth Proportional to 35,527.50, 49,022.37 and 20,417.25

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Solution

The fourth proportional to 35,527.50, 49,022.37 and 20,417.25 is: 28,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,527.50 : 49,022.37 = 20,417.25 : x
  2. Step 2: Convert to fraction form
    35,527.50/49,022.37 = 20,417.25/x
  3. Step 3: Cross multiply
    35,527.50x = 49,022.37 × 20,417.25
  4. Step 4: Simplify right side
    35,527.50x = 1,000,901,983.88
  5. Step 5: Solve for x
    x = 1,000,901,983.88/35,527.50
  6. Step 6: Final answer
    x = 28,172.60

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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.