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Finding the Fourth Proportional to 34,877.80, 52,324.90 and 10,861.00

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Solution

The fourth proportional to 34,877.80, 52,324.90 and 10,861.00 is: 16,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877.80 : 52,324.90 = 10,861.00 : x
  2. Step 2: Convert to fraction form
    34,877.80/52,324.90 = 10,861.00/x
  3. Step 3: Cross multiply
    34,877.80x = 52,324.90 × 10,861.00
  4. Step 4: Simplify right side
    34,877.80x = 568,300,580.94
  5. Step 5: Solve for x
    x = 568,300,580.94/34,877.80
  6. Step 6: Final answer
    x = 16,294.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.