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Finding the Fourth Proportional to 47,064, 64,954.08 and 27,192

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Solution

The fourth proportional to 47,064, 64,954.08 and 27,192 is: 37,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064 : 64,954.08 = 27,192 : x
  2. Step 2: Convert to fraction form
    47,064/64,954.08 = 27,192/x
  3. Step 3: Cross multiply
    47,064x = 64,954.08 × 27,192
  4. Step 4: Simplify right side
    47,064x = 1,766,231,343.36
  5. Step 5: Solve for x
    x = 1,766,231,343.36/47,064
  6. Step 6: Final answer
    x = 37,528.29

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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.