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Finding the Fourth Proportional to 30,145.79, 45,204.30 and 13,505.96

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Solution

The fourth proportional to 30,145.79, 45,204.30 and 13,505.96 is: 20,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.79 : 45,204.30 = 13,505.96 : x
  2. Step 2: Convert to fraction form
    30,145.79/45,204.30 = 13,505.96/x
  3. Step 3: Cross multiply
    30,145.79x = 45,204.30 × 13,505.96
  4. Step 4: Simplify right side
    30,145.79x = 610,527,241.61
  5. Step 5: Solve for x
    x = 610,527,241.61/30,145.79
  6. Step 6: Final answer
    x = 20,252.49

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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.