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Finding the Fourth Proportional to 117,638.82, 176,359.05 and 51,028.77

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Solution

The fourth proportional to 117,638.82, 176,359.05 and 51,028.77 is: 76,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,638.82 : 176,359.05 = 51,028.77 : x
  2. Step 2: Convert to fraction form
    117,638.82/176,359.05 = 51,028.77/x
  3. Step 3: Cross multiply
    117,638.82x = 176,359.05 × 51,028.77
  4. Step 4: Simplify right side
    117,638.82x = 8,999,385,399.87
  5. Step 5: Solve for x
    x = 8,999,385,399.87/117,638.82
  6. Step 6: Final answer
    x = 76,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.