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Finding the Fourth Proportional to 29,575.97, 40,813.29 and 16,828.89

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Solution

The fourth proportional to 29,575.97, 40,813.29 and 16,828.89 is: 23,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.97 : 40,813.29 = 16,828.89 : x
  2. Step 2: Convert to fraction form
    29,575.97/40,813.29 = 16,828.89/x
  3. Step 3: Cross multiply
    29,575.97x = 40,813.29 × 16,828.89
  4. Step 4: Simplify right side
    29,575.97x = 686,842,163.88
  5. Step 5: Solve for x
    x = 686,842,163.88/29,575.97
  6. Step 6: Final answer
    x = 23,222.98

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1.5x scale

Why These Related Problems?

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