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Finding the Fourth Proportional to 51,559.50, 77,343.96 and 16,021.02

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Solution

The fourth proportional to 51,559.50, 77,343.96 and 16,021.02 is: 24,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,559.50 : 77,343.96 = 16,021.02 : x
  2. Step 2: Convert to fraction form
    51,559.50/77,343.96 = 16,021.02/x
  3. Step 3: Cross multiply
    51,559.50x = 77,343.96 × 16,021.02
  4. Step 4: Simplify right side
    51,559.50x = 1,239,129,130.04
  5. Step 5: Solve for x
    x = 1,239,129,130.04/51,559.50
  6. Step 6: Final answer
    x = 24,032.99

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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.