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Finding the Fourth Proportional to 47,164.95, 70,747.43 and 16,000.47

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Solution

The fourth proportional to 47,164.95, 70,747.43 and 16,000.47 is: 24,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164.95 : 70,747.43 = 16,000.47 : x
  2. Step 2: Convert to fraction form
    47,164.95/70,747.43 = 16,000.47/x
  3. Step 3: Cross multiply
    47,164.95x = 70,747.43 × 16,000.47
  4. Step 4: Simplify right side
    47,164.95x = 1,131,992,051.29
  5. Step 5: Solve for x
    x = 1,131,992,051.29/47,164.95
  6. Step 6: Final answer
    x = 24,000.71

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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.