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Finding the Fourth Proportional to 51,709.38, 77,521.02 and 20,112.02

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Solution

The fourth proportional to 51,709.38, 77,521.02 and 20,112.02 is: 30,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,709.38 : 77,521.02 = 20,112.02 : x
  2. Step 2: Convert to fraction form
    51,709.38/77,521.02 = 20,112.02/x
  3. Step 3: Cross multiply
    51,709.38x = 77,521.02 × 20,112.02
  4. Step 4: Simplify right side
    51,709.38x = 1,559,103,816.50
  5. Step 5: Solve for x
    x = 1,559,103,816.50/51,709.38
  6. Step 6: Final answer
    x = 30,151.28

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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.