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Finding the Fourth Proportional to 51,032, 70,424.52 and 28,676

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Solution

The fourth proportional to 51,032, 70,424.52 and 28,676 is: 39,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 70,424.52 = 28,676 : x
  2. Step 2: Convert to fraction form
    51,032/70,424.52 = 28,676/x
  3. Step 3: Cross multiply
    51,032x = 70,424.52 × 28,676
  4. Step 4: Simplify right side
    51,032x = 2,019,493,535.52
  5. Step 5: Solve for x
    x = 2,019,493,535.52/51,032
  6. Step 6: Final answer
    x = 39,573.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.