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Finding the Fourth Proportional to 57,302.94, 85,972.02 and 27,355.40

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Solution

The fourth proportional to 57,302.94, 85,972.02 and 27,355.40 is: 41,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302.94 : 85,972.02 = 27,355.40 : x
  2. Step 2: Convert to fraction form
    57,302.94/85,972.02 = 27,355.40/x
  3. Step 3: Cross multiply
    57,302.94x = 85,972.02 × 27,355.40
  4. Step 4: Simplify right side
    57,302.94x = 2,351,798,995.91
  5. Step 5: Solve for x
    x = 2,351,798,995.91/57,302.94
  6. Step 6: Final answer
    x = 41,041.51

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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.