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Finding the Fourth Proportional to 51,808.83, 77,713.24 and 14,368.91

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Solution

The fourth proportional to 51,808.83, 77,713.24 and 14,368.91 is: 21,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.83 : 77,713.24 = 14,368.91 : x
  2. Step 2: Convert to fraction form
    51,808.83/77,713.24 = 14,368.91/x
  3. Step 3: Cross multiply
    51,808.83x = 77,713.24 × 14,368.91
  4. Step 4: Simplify right side
    51,808.83x = 1,116,654,198.72
  5. Step 5: Solve for x
    x = 1,116,654,198.72/51,808.83
  6. Step 6: Final answer
    x = 21,553.36

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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.