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Finding the Fourth Proportional to 40,920.96, 61,382.62 and 15,960

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Solution

The fourth proportional to 40,920.96, 61,382.62 and 15,960 is: 23,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,920.96 : 61,382.62 = 15,960 : x
  2. Step 2: Convert to fraction form
    40,920.96/61,382.62 = 15,960/x
  3. Step 3: Cross multiply
    40,920.96x = 61,382.62 × 15,960
  4. Step 4: Simplify right side
    40,920.96x = 979,666,615.20
  5. Step 5: Solve for x
    x = 979,666,615.20/40,920.96
  6. Step 6: Final answer
    x = 23,940.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.