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Finding the Fourth Proportional to 55,466.70, 76,542.94 and 31,592.76

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Solution

The fourth proportional to 55,466.70, 76,542.94 and 31,592.76 is: 43,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,466.70 : 76,542.94 = 31,592.76 : x
  2. Step 2: Convert to fraction form
    55,466.70/76,542.94 = 31,592.76/x
  3. Step 3: Cross multiply
    55,466.70x = 76,542.94 × 31,592.76
  4. Step 4: Simplify right side
    55,466.70x = 2,418,202,733.11
  5. Step 5: Solve for x
    x = 2,418,202,733.11/55,466.70
  6. Step 6: Final answer
    x = 43,597.38

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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.