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Finding the Fourth Proportional to 57,215.76, 78,911.13 and 40,276.23

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Solution

The fourth proportional to 57,215.76, 78,911.13 and 40,276.23 is: 55,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215.76 : 78,911.13 = 40,276.23 : x
  2. Step 2: Convert to fraction form
    57,215.76/78,911.13 = 40,276.23/x
  3. Step 3: Cross multiply
    57,215.76x = 78,911.13 × 40,276.23
  4. Step 4: Simplify right side
    57,215.76x = 3,178,242,821.44
  5. Step 5: Solve for x
    x = 3,178,242,821.44/57,215.76
  6. Step 6: Final answer
    x = 55,548.38

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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.