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Finding the Fourth Proportional to 30,846.32, 42,568.22 and 16,699.46

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Solution

The fourth proportional to 30,846.32, 42,568.22 and 16,699.46 is: 23,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.32 : 42,568.22 = 16,699.46 : x
  2. Step 2: Convert to fraction form
    30,846.32/42,568.22 = 16,699.46/x
  3. Step 3: Cross multiply
    30,846.32x = 42,568.22 × 16,699.46
  4. Step 4: Simplify right side
    30,846.32x = 710,866,203.66
  5. Step 5: Solve for x
    x = 710,866,203.66/30,846.32
  6. Step 6: Final answer
    x = 23,045.42

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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.