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Finding the Fourth Proportional to 30,682, 46,040.46 and 16,642.36

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Solution

The fourth proportional to 30,682, 46,040.46 and 16,642.36 is: 24,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682 : 46,040.46 = 16,642.36 : x
  2. Step 2: Convert to fraction form
    30,682/46,040.46 = 16,642.36/x
  3. Step 3: Cross multiply
    30,682x = 46,040.46 × 16,642.36
  4. Step 4: Simplify right side
    30,682x = 766,221,909.89
  5. Step 5: Solve for x
    x = 766,221,909.89/30,682
  6. Step 6: Final answer
    x = 24,973.01

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