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Finding the Fourth Proportional to 30,732.36, 42,411.51 and 18,795.48

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Solution

The fourth proportional to 30,732.36, 42,411.51 and 18,795.48 is: 25,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732.36 : 42,411.51 = 18,795.48 : x
  2. Step 2: Convert to fraction form
    30,732.36/42,411.51 = 18,795.48/x
  3. Step 3: Cross multiply
    30,732.36x = 42,411.51 × 18,795.48
  4. Step 4: Simplify right side
    30,732.36x = 797,144,687.97
  5. Step 5: Solve for x
    x = 797,144,687.97/30,732.36
  6. Step 6: Final answer
    x = 25,938.28

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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.