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Finding the Fourth Proportional to 53,118, 73,302.44 and 31,622.49

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Solution

The fourth proportional to 53,118, 73,302.44 and 31,622.49 is: 43,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,118 : 73,302.44 = 31,622.49 : x
  2. Step 2: Convert to fraction form
    53,118/73,302.44 = 31,622.49/x
  3. Step 3: Cross multiply
    53,118x = 73,302.44 × 31,622.49
  4. Step 4: Simplify right side
    53,118x = 2,318,005,517.76
  5. Step 5: Solve for x
    x = 2,318,005,517.76/53,118
  6. Step 6: Final answer
    x = 43,638.80

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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.