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Finding the Fourth Proportional to 34,702.86, 52,048.89 and 11,324.10

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Solution

The fourth proportional to 34,702.86, 52,048.89 and 11,324.10 is: 16,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.86 : 52,048.89 = 11,324.10 : x
  2. Step 2: Convert to fraction form
    34,702.86/52,048.89 = 11,324.10/x
  3. Step 3: Cross multiply
    34,702.86x = 52,048.89 × 11,324.10
  4. Step 4: Simplify right side
    34,702.86x = 589,406,835.25
  5. Step 5: Solve for x
    x = 589,406,835.25/34,702.86
  6. Step 6: Final answer
    x = 16,984.39

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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.