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Finding the Fourth Proportional to 51,914.76, 77,872.14 and 14,473.32

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Solution

The fourth proportional to 51,914.76, 77,872.14 and 14,473.32 is: 21,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914.76 : 77,872.14 = 14,473.32 : x
  2. Step 2: Convert to fraction form
    51,914.76/77,872.14 = 14,473.32/x
  3. Step 3: Cross multiply
    51,914.76x = 77,872.14 × 14,473.32
  4. Step 4: Simplify right side
    51,914.76x = 1,127,068,401.30
  5. Step 5: Solve for x
    x = 1,127,068,401.30/51,914.76
  6. Step 6: Final answer
    x = 21,709.98

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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.