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Finding the Fourth Proportional to 82,266.37, 123,438.74 and 57,004.84

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Solution

The fourth proportional to 82,266.37, 123,438.74 and 57,004.84 is: 85,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.37 : 123,438.74 = 57,004.84 : x
  2. Step 2: Convert to fraction form
    82,266.37/123,438.74 = 57,004.84/x
  3. Step 3: Cross multiply
    82,266.37x = 123,438.74 × 57,004.84
  4. Step 4: Simplify right side
    82,266.37x = 7,036,605,623.50
  5. Step 5: Solve for x
    x = 7,036,605,623.50/82,266.37
  6. Step 6: Final answer
    x = 85,534.41

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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.