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Finding the Fourth Proportional to 30,659.41, 46,002.08 and 13,137.49

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Solution

The fourth proportional to 30,659.41, 46,002.08 and 13,137.49 is: 19,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.41 : 46,002.08 = 13,137.49 : x
  2. Step 2: Convert to fraction form
    30,659.41/46,002.08 = 13,137.49/x
  3. Step 3: Cross multiply
    30,659.41x = 46,002.08 × 13,137.49
  4. Step 4: Simplify right side
    30,659.41x = 604,351,865.98
  5. Step 5: Solve for x
    x = 604,351,865.98/30,659.41
  6. Step 6: Final answer
    x = 19,711.79

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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.