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Finding the Fourth Proportional to 56,032, 77,324.16 and 33,676

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Solution

The fourth proportional to 56,032, 77,324.16 and 33,676 is: 46,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,032 : 77,324.16 = 33,676 : x
  2. Step 2: Convert to fraction form
    56,032/77,324.16 = 33,676/x
  3. Step 3: Cross multiply
    56,032x = 77,324.16 × 33,676
  4. Step 4: Simplify right side
    56,032x = 2,603,968,412.16
  5. Step 5: Solve for x
    x = 2,603,968,412.16/56,032
  6. Step 6: Final answer
    x = 46,472.88

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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.