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Finding the Fourth Proportional to 57,822.63, 79,808.57 and 37,644.38

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Solution

The fourth proportional to 57,822.63, 79,808.57 and 37,644.38 is: 51,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822.63 : 79,808.57 = 37,644.38 : x
  2. Step 2: Convert to fraction form
    57,822.63/79,808.57 = 37,644.38/x
  3. Step 3: Cross multiply
    57,822.63x = 79,808.57 × 37,644.38
  4. Step 4: Simplify right side
    57,822.63x = 3,004,343,549.07
  5. Step 5: Solve for x
    x = 3,004,343,549.07/57,822.63
  6. Step 6: Final answer
    x = 51,957.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.