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Finding the Fourth Proportional to 34,684.84, 47,885.70 and 22,769.02

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Solution

The fourth proportional to 34,684.84, 47,885.70 and 22,769.02 is: 31,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684.84 : 47,885.70 = 22,769.02 : x
  2. Step 2: Convert to fraction form
    34,684.84/47,885.70 = 22,769.02/x
  3. Step 3: Cross multiply
    34,684.84x = 47,885.70 × 22,769.02
  4. Step 4: Simplify right side
    34,684.84x = 1,090,310,461.01
  5. Step 5: Solve for x
    x = 1,090,310,461.01/34,684.84
  6. Step 6: Final answer
    x = 31,434.78

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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.