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Finding the Fourth Proportional to 56,675.40, 78,208.92 and 31,523.28

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Solution

The fourth proportional to 56,675.40, 78,208.92 and 31,523.28 is: 43,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,675.40 : 78,208.92 = 31,523.28 : x
  2. Step 2: Convert to fraction form
    56,675.40/78,208.92 = 31,523.28/x
  3. Step 3: Cross multiply
    56,675.40x = 78,208.92 × 31,523.28
  4. Step 4: Simplify right side
    56,675.40x = 2,465,401,683.66
  5. Step 5: Solve for x
    x = 2,465,401,683.66/56,675.40
  6. Step 6: Final answer
    x = 43,500.38

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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.