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Finding the Fourth Proportional to 47,629.56, 65,728.68 and 26,412

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Solution

The fourth proportional to 47,629.56, 65,728.68 and 26,412 is: 36,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629.56 : 65,728.68 = 26,412 : x
  2. Step 2: Convert to fraction form
    47,629.56/65,728.68 = 26,412/x
  3. Step 3: Cross multiply
    47,629.56x = 65,728.68 × 26,412
  4. Step 4: Simplify right side
    47,629.56x = 1,736,025,896.16
  5. Step 5: Solve for x
    x = 1,736,025,896.16/47,629.56
  6. Step 6: Final answer
    x = 36,448.50

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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.