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Finding the Fourth Proportional to 64,270.84, 96,415.24 and 26,822.34

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Solution

The fourth proportional to 64,270.84, 96,415.24 and 26,822.34 is: 40,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,270.84 : 96,415.24 = 26,822.34 : x
  2. Step 2: Convert to fraction form
    64,270.84/96,415.24 = 26,822.34/x
  3. Step 3: Cross multiply
    64,270.84x = 96,415.24 × 26,822.34
  4. Step 4: Simplify right side
    64,270.84x = 2,586,082,381.99
  5. Step 5: Solve for x
    x = 2,586,082,381.99/64,270.84
  6. Step 6: Final answer
    x = 40,237.26

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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.