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Finding the Fourth Proportional to 74,827, 103,261.40 and 41,293

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Solution

The fourth proportional to 74,827, 103,261.40 and 41,293 is: 56,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,827 : 103,261.40 = 41,293 : x
  2. Step 2: Convert to fraction form
    74,827/103,261.40 = 41,293/x
  3. Step 3: Cross multiply
    74,827x = 103,261.40 × 41,293
  4. Step 4: Simplify right side
    74,827x = 4,263,972,990.20
  5. Step 5: Solve for x
    x = 4,263,972,990.20/74,827
  6. Step 6: Final answer
    x = 56,984.42

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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.