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Finding the Fourth Proportional to 30,016, 45,044.48 and 10,560

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Solution

The fourth proportional to 30,016, 45,044.48 and 10,560 is: 15,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016 : 45,044.48 = 10,560 : x
  2. Step 2: Convert to fraction form
    30,016/45,044.48 = 10,560/x
  3. Step 3: Cross multiply
    30,016x = 45,044.48 × 10,560
  4. Step 4: Simplify right side
    30,016x = 475,669,708.80
  5. Step 5: Solve for x
    x = 475,669,708.80/30,016
  6. Step 6: Final answer
    x = 15,847.21

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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.