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Finding the Fourth Proportional to 47,306, 70,959 and 16,141.25

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Solution

The fourth proportional to 47,306, 70,959 and 16,141.25 is: 24,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,306 : 70,959 = 16,141.25 : x
  2. Step 2: Convert to fraction form
    47,306/70,959 = 16,141.25/x
  3. Step 3: Cross multiply
    47,306x = 70,959 × 16,141.25
  4. Step 4: Simplify right side
    47,306x = 1,145,366,958.75
  5. Step 5: Solve for x
    x = 1,145,366,958.75/47,306
  6. Step 6: Final answer
    x = 24,211.88

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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.