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Finding the Fourth Proportional to 30,534.83, 45,808.79 and 9,474.42

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Solution

The fourth proportional to 30,534.83, 45,808.79 and 9,474.42 is: 14,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.83 : 45,808.79 = 9,474.42 : x
  2. Step 2: Convert to fraction form
    30,534.83/45,808.79 = 9,474.42/x
  3. Step 3: Cross multiply
    30,534.83x = 45,808.79 × 9,474.42
  4. Step 4: Simplify right side
    30,534.83x = 434,011,668.78
  5. Step 5: Solve for x
    x = 434,011,668.78/30,534.83
  6. Step 6: Final answer
    x = 14,213.66

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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.