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Finding the Fourth Proportional to 47,064, 64,950 and 25,843.04

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Solution

The fourth proportional to 47,064, 64,950 and 25,843.04 is: 35,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064 : 64,950 = 25,843.04 : x
  2. Step 2: Convert to fraction form
    47,064/64,950 = 25,843.04/x
  3. Step 3: Cross multiply
    47,064x = 64,950 × 25,843.04
  4. Step 4: Simplify right side
    47,064x = 1,678,505,448
  5. Step 5: Solve for x
    x = 1,678,505,448/47,064
  6. Step 6: Final answer
    x = 35,664.32

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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.