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Finding the Fourth Proportional to 30,405.14, 45,596.08 and 14,605.77

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Solution

The fourth proportional to 30,405.14, 45,596.08 and 14,605.77 is: 21,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.14 : 45,596.08 = 14,605.77 : x
  2. Step 2: Convert to fraction form
    30,405.14/45,596.08 = 14,605.77/x
  3. Step 3: Cross multiply
    30,405.14x = 45,596.08 × 14,605.77
  4. Step 4: Simplify right side
    30,405.14x = 665,965,857.38
  5. Step 5: Solve for x
    x = 665,965,857.38/30,405.14
  6. Step 6: Final answer
    x = 21,903.07

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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.