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Finding the Fourth Proportional to 51,892.40, 77,834.04 and 14,450.05

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Solution

The fourth proportional to 51,892.40, 77,834.04 and 14,450.05 is: 21,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.40 : 77,834.04 = 14,450.05 : x
  2. Step 2: Convert to fraction form
    51,892.40/77,834.04 = 14,450.05/x
  3. Step 3: Cross multiply
    51,892.40x = 77,834.04 × 14,450.05
  4. Step 4: Simplify right side
    51,892.40x = 1,124,705,415.63
  5. Step 5: Solve for x
    x = 1,124,705,415.63/51,892.40
  6. Step 6: Final answer
    x = 21,673.80

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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.