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Finding the Fourth Proportional to 30,793.65, 46,186.48 and 9,735.81

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Solution

The fourth proportional to 30,793.65, 46,186.48 and 9,735.81 is: 14,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.65 : 46,186.48 = 9,735.81 : x
  2. Step 2: Convert to fraction form
    30,793.65/46,186.48 = 9,735.81/x
  3. Step 3: Cross multiply
    30,793.65x = 46,186.48 × 9,735.81
  4. Step 4: Simplify right side
    30,793.65x = 449,662,514.24
  5. Step 5: Solve for x
    x = 449,662,514.24/30,793.65
  6. Step 6: Final answer
    x = 14,602.45

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