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Finding the Fourth Proportional to 30,829.66, 42,544.95 and 16,682.47

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Solution

The fourth proportional to 30,829.66, 42,544.95 and 16,682.47 is: 23,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.66 : 42,544.95 = 16,682.47 : x
  2. Step 2: Convert to fraction form
    30,829.66/42,544.95 = 16,682.47/x
  3. Step 3: Cross multiply
    30,829.66x = 42,544.95 × 16,682.47
  4. Step 4: Simplify right side
    30,829.66x = 709,754,852.03
  5. Step 5: Solve for x
    x = 709,754,852.03/30,829.66
  6. Step 6: Final answer
    x = 23,021.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.