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Finding the Fourth Proportional to 46,657.65, 69,928.16 and 36,757.83

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Solution

The fourth proportional to 46,657.65, 69,928.16 and 36,757.83 is: 55,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.65 : 69,928.16 = 36,757.83 : x
  2. Step 2: Convert to fraction form
    46,657.65/69,928.16 = 36,757.83/x
  3. Step 3: Cross multiply
    46,657.65x = 69,928.16 × 36,757.83
  4. Step 4: Simplify right side
    46,657.65x = 2,570,407,233.70
  5. Step 5: Solve for x
    x = 2,570,407,233.70/46,657.65
  6. Step 6: Final answer
    x = 55,090.80

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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.