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Finding the Fourth Proportional to 41,580, 57,380.40 and 24,813

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Solution

The fourth proportional to 41,580, 57,380.40 and 24,813 is: 34,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 57,380.40 = 24,813 : x
  2. Step 2: Convert to fraction form
    41,580/57,380.40 = 24,813/x
  3. Step 3: Cross multiply
    41,580x = 57,380.40 × 24,813
  4. Step 4: Simplify right side
    41,580x = 1,423,779,865.20
  5. Step 5: Solve for x
    x = 1,423,779,865.20/41,580
  6. Step 6: Final answer
    x = 34,241.94

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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.