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Finding the Fourth Proportional to 46,477.67, 69,702.53 and 13,200.44

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Solution

The fourth proportional to 46,477.67, 69,702.53 and 13,200.44 is: 19,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,477.67 : 69,702.53 = 13,200.44 : x
  2. Step 2: Convert to fraction form
    46,477.67/69,702.53 = 13,200.44/x
  3. Step 3: Cross multiply
    46,477.67x = 69,702.53 × 13,200.44
  4. Step 4: Simplify right side
    46,477.67x = 920,103,650.60
  5. Step 5: Solve for x
    x = 920,103,650.60/46,477.67
  6. Step 6: Final answer
    x = 19,796.68

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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.