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Finding the Fourth Proportional to 47,184, 70,786.94 and 16,019.25

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Solution

The fourth proportional to 47,184, 70,786.94 and 16,019.25 is: 24,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,184 : 70,786.94 = 16,019.25 : x
  2. Step 2: Convert to fraction form
    47,184/70,786.94 = 16,019.25/x
  3. Step 3: Cross multiply
    47,184x = 70,786.94 × 16,019.25
  4. Step 4: Simplify right side
    47,184x = 1,133,953,608.50
  5. Step 5: Solve for x
    x = 1,133,953,608.50/47,184
  6. Step 6: Final answer
    x = 24,032.59

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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.