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Finding the Fourth Proportional to 35,638.38, 49,165.02 and 20,527.08

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Solution

The fourth proportional to 35,638.38, 49,165.02 and 20,527.08 is: 28,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.38 : 49,165.02 = 20,527.08 : x
  2. Step 2: Convert to fraction form
    35,638.38/49,165.02 = 20,527.08/x
  3. Step 3: Cross multiply
    35,638.38x = 49,165.02 × 20,527.08
  4. Step 4: Simplify right side
    35,638.38x = 1,009,214,298.74
  5. Step 5: Solve for x
    x = 1,009,214,298.74/35,638.38
  6. Step 6: Final answer
    x = 28,318.19

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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.