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Finding the Fourth Proportional to 30,770.25, 46,159.83 and 9,703.14

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Solution

The fourth proportional to 30,770.25, 46,159.83 and 9,703.14 is: 14,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.25 : 46,159.83 = 9,703.14 : x
  2. Step 2: Convert to fraction form
    30,770.25/46,159.83 = 9,703.14/x
  3. Step 3: Cross multiply
    30,770.25x = 46,159.83 × 9,703.14
  4. Step 4: Simplify right side
    30,770.25x = 447,895,292.87
  5. Step 5: Solve for x
    x = 447,895,292.87/30,770.25
  6. Step 6: Final answer
    x = 14,556.11

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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.