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Finding the Fourth Proportional to 35,632.10, 49,174.02 and 20,527.09

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Solution

The fourth proportional to 35,632.10, 49,174.02 and 20,527.09 is: 28,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,632.10 : 49,174.02 = 20,527.09 : x
  2. Step 2: Convert to fraction form
    35,632.10/49,174.02 = 20,527.09/x
  3. Step 3: Cross multiply
    35,632.10x = 49,174.02 × 20,527.09
  4. Step 4: Simplify right side
    35,632.10x = 1,009,399,411.27
  5. Step 5: Solve for x
    x = 1,009,399,411.27/35,632.10
  6. Step 6: Final answer
    x = 28,328.37

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Why These Related Problems?

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