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Finding the Fourth Proportional to 51,793.99, 77,695.38 and 14,354.06

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Solution

The fourth proportional to 51,793.99, 77,695.38 and 14,354.06 is: 21,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,793.99 : 77,695.38 = 14,354.06 : x
  2. Step 2: Convert to fraction form
    51,793.99/77,695.38 = 14,354.06/x
  3. Step 3: Cross multiply
    51,793.99x = 77,695.38 × 14,354.06
  4. Step 4: Simplify right side
    51,793.99x = 1,115,243,757.77
  5. Step 5: Solve for x
    x = 1,115,243,757.77/51,793.99
  6. Step 6: Final answer
    x = 21,532.30

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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.