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Finding the Fourth Proportional to 53,052, 73,215.36 and 30,696

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Solution

The fourth proportional to 53,052, 73,215.36 and 30,696 is: 42,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,052 : 73,215.36 = 30,696 : x
  2. Step 2: Convert to fraction form
    53,052/73,215.36 = 30,696/x
  3. Step 3: Cross multiply
    53,052x = 73,215.36 × 30,696
  4. Step 4: Simplify right side
    53,052x = 2,247,418,690.56
  5. Step 5: Solve for x
    x = 2,247,418,690.56/53,052
  6. Step 6: Final answer
    x = 42,362.56

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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.