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Finding the Fourth Proportional to 82,532.94, 123,798 and 26,372.64

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Solution

The fourth proportional to 82,532.94, 123,798 and 26,372.64 is: 39,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.94 : 123,798 = 26,372.64 : x
  2. Step 2: Convert to fraction form
    82,532.94/123,798 = 26,372.64/x
  3. Step 3: Cross multiply
    82,532.94x = 123,798 × 26,372.64
  4. Step 4: Simplify right side
    82,532.94x = 3,264,880,086.72
  5. Step 5: Solve for x
    x = 3,264,880,086.72/82,532.94
  6. Step 6: Final answer
    x = 39,558.51

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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.