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Finding the Fourth Proportional to 50,064, 69,090.48 and 27,708

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Solution

The fourth proportional to 50,064, 69,090.48 and 27,708 is: 38,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,064 : 69,090.48 = 27,708 : x
  2. Step 2: Convert to fraction form
    50,064/69,090.48 = 27,708/x
  3. Step 3: Cross multiply
    50,064x = 69,090.48 × 27,708
  4. Step 4: Simplify right side
    50,064x = 1,914,359,019.84
  5. Step 5: Solve for x
    x = 1,914,359,019.84/50,064
  6. Step 6: Final answer
    x = 38,238.24

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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.