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Finding the Fourth Proportional to 46,638.40, 69,957.60 and 33,613.60

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Solution

The fourth proportional to 46,638.40, 69,957.60 and 33,613.60 is: 50,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,638.40 : 69,957.60 = 33,613.60 : x
  2. Step 2: Convert to fraction form
    46,638.40/69,957.60 = 33,613.60/x
  3. Step 3: Cross multiply
    46,638.40x = 69,957.60 × 33,613.60
  4. Step 4: Simplify right side
    46,638.40x = 2,351,526,783.36
  5. Step 5: Solve for x
    x = 2,351,526,783.36/46,638.40
  6. Step 6: Final answer
    x = 50,420.40

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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.