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Finding the Fourth Proportional to 30,548.34, 45,818.46 and 13,890.42

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Solution

The fourth proportional to 30,548.34, 45,818.46 and 13,890.42 is: 20,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.34 : 45,818.46 = 13,890.42 : x
  2. Step 2: Convert to fraction form
    30,548.34/45,818.46 = 13,890.42/x
  3. Step 3: Cross multiply
    30,548.34x = 45,818.46 × 13,890.42
  4. Step 4: Simplify right side
    30,548.34x = 636,437,653.15
  5. Step 5: Solve for x
    x = 636,437,653.15/30,548.34
  6. Step 6: Final answer
    x = 20,833.79

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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.