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Finding the Fourth Proportional to 30,846.33, 42,568.03 and 16,699.14

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Solution

The fourth proportional to 30,846.33, 42,568.03 and 16,699.14 is: 23,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.33 : 42,568.03 = 16,699.14 : x
  2. Step 2: Convert to fraction form
    30,846.33/42,568.03 = 16,699.14/x
  3. Step 3: Cross multiply
    30,846.33x = 42,568.03 × 16,699.14
  4. Step 4: Simplify right side
    30,846.33x = 710,849,513.37
  5. Step 5: Solve for x
    x = 710,849,513.37/30,846.33
  6. Step 6: Final answer
    x = 23,044.87

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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.