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Finding the Fourth Proportional to 92,904.58, 128,208.36 and 50,464

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Solution

The fourth proportional to 92,904.58, 128,208.36 and 50,464 is: 69,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,904.58 : 128,208.36 = 50,464 : x
  2. Step 2: Convert to fraction form
    92,904.58/128,208.36 = 50,464/x
  3. Step 3: Cross multiply
    92,904.58x = 128,208.36 × 50,464
  4. Step 4: Simplify right side
    92,904.58x = 6,469,906,679.04
  5. Step 5: Solve for x
    x = 6,469,906,679.04/92,904.58
  6. Step 6: Final answer
    x = 69,640.34

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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.