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Finding the Fourth Proportional to 76,343.99, 114,523.83 and 26,424.01

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Solution

The fourth proportional to 76,343.99, 114,523.83 and 26,424.01 is: 39,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.99 : 114,523.83 = 26,424.01 : x
  2. Step 2: Convert to fraction form
    76,343.99/114,523.83 = 26,424.01/x
  3. Step 3: Cross multiply
    76,343.99x = 114,523.83 × 26,424.01
  4. Step 4: Simplify right side
    76,343.99x = 3,026,178,829.16
  5. Step 5: Solve for x
    x = 3,026,178,829.16/76,343.99
  6. Step 6: Final answer
    x = 39,638.73

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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.