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Finding the Fourth Proportional to 47,626.08, 65,722.80 and 26,405.28

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Solution

The fourth proportional to 47,626.08, 65,722.80 and 26,405.28 is: 36,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,626.08 : 65,722.80 = 26,405.28 : x
  2. Step 2: Convert to fraction form
    47,626.08/65,722.80 = 26,405.28/x
  3. Step 3: Cross multiply
    47,626.08x = 65,722.80 × 26,405.28
  4. Step 4: Simplify right side
    47,626.08x = 1,735,428,936.38
  5. Step 5: Solve for x
    x = 1,735,428,936.38/47,626.08
  6. Step 6: Final answer
    x = 36,438.63

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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.