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Finding the Fourth Proportional to 30,474.80, 45,730.36 and 13,606.50

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Solution

The fourth proportional to 30,474.80, 45,730.36 and 13,606.50 is: 20,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.80 : 45,730.36 = 13,606.50 : x
  2. Step 2: Convert to fraction form
    30,474.80/45,730.36 = 13,606.50/x
  3. Step 3: Cross multiply
    30,474.80x = 45,730.36 × 13,606.50
  4. Step 4: Simplify right side
    30,474.80x = 622,229,988.86
  5. Step 5: Solve for x
    x = 622,229,988.86/30,474.80
  6. Step 6: Final answer
    x = 20,417.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.