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Finding the Fourth Proportional to 55,230.76, 76,215.73 and 31,354.30

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Solution

The fourth proportional to 55,230.76, 76,215.73 and 31,354.30 is: 43,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230.76 : 76,215.73 = 31,354.30 : x
  2. Step 2: Convert to fraction form
    55,230.76/76,215.73 = 31,354.30/x
  3. Step 3: Cross multiply
    55,230.76x = 76,215.73 × 31,354.30
  4. Step 4: Simplify right side
    55,230.76x = 2,389,690,325.29
  5. Step 5: Solve for x
    x = 2,389,690,325.29/55,230.76
  6. Step 6: Final answer
    x = 43,267.38

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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.