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Finding the Fourth Proportional to 53,656.97, 74,044.94 and 30,994.20

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Solution

The fourth proportional to 53,656.97, 74,044.94 and 30,994.20 is: 42,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656.97 : 74,044.94 = 30,994.20 : x
  2. Step 2: Convert to fraction form
    53,656.97/74,044.94 = 30,994.20/x
  3. Step 3: Cross multiply
    53,656.97x = 74,044.94 × 30,994.20
  4. Step 4: Simplify right side
    53,656.97x = 2,294,963,524.38
  5. Step 5: Solve for x
    x = 2,294,963,524.38/53,656.97
  6. Step 6: Final answer
    x = 42,771.03

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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.