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Finding the Fourth Proportional to 30,713.88, 46,080.56 and 10,992

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Solution

The fourth proportional to 30,713.88, 46,080.56 and 10,992 is: 16,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.88 : 46,080.56 = 10,992 : x
  2. Step 2: Convert to fraction form
    30,713.88/46,080.56 = 10,992/x
  3. Step 3: Cross multiply
    30,713.88x = 46,080.56 × 10,992
  4. Step 4: Simplify right side
    30,713.88x = 506,517,515.52
  5. Step 5: Solve for x
    x = 506,517,515.52/30,713.88
  6. Step 6: Final answer
    x = 16,491.49

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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.