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Finding the Fourth Proportional to 30,438.41, 45,654.35 and 14,424.08

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Solution

The fourth proportional to 30,438.41, 45,654.35 and 14,424.08 is: 21,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.41 : 45,654.35 = 14,424.08 : x
  2. Step 2: Convert to fraction form
    30,438.41/45,654.35 = 14,424.08/x
  3. Step 3: Cross multiply
    30,438.41x = 45,654.35 × 14,424.08
  4. Step 4: Simplify right side
    30,438.41x = 658,521,696.36
  5. Step 5: Solve for x
    x = 658,521,696.36/30,438.41
  6. Step 6: Final answer
    x = 21,634.57

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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.