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Finding the Fourth Proportional to 45,231.32, 67,853.46 and 14,069

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Solution

The fourth proportional to 45,231.32, 67,853.46 and 14,069 is: 21,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,231.32 : 67,853.46 = 14,069 : x
  2. Step 2: Convert to fraction form
    45,231.32/67,853.46 = 14,069/x
  3. Step 3: Cross multiply
    45,231.32x = 67,853.46 × 14,069
  4. Step 4: Simplify right side
    45,231.32x = 954,630,328.74
  5. Step 5: Solve for x
    x = 954,630,328.74/45,231.32
  6. Step 6: Final answer
    x = 21,105.52

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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.