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Finding the Fourth Proportional to 51,451.99, 77,177.04 and 14,011.50

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Solution

The fourth proportional to 51,451.99, 77,177.04 and 14,011.50 is: 21,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,451.99 : 77,177.04 = 14,011.50 : x
  2. Step 2: Convert to fraction form
    51,451.99/77,177.04 = 14,011.50/x
  3. Step 3: Cross multiply
    51,451.99x = 77,177.04 × 14,011.50
  4. Step 4: Simplify right side
    51,451.99x = 1,081,365,710.07
  5. Step 5: Solve for x
    x = 1,081,365,710.07/51,451.99
  6. Step 6: Final answer
    x = 21,016.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.