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Finding the Fourth Proportional to 56,644.32, 78,137.28 and 33,977.28

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Solution

The fourth proportional to 56,644.32, 78,137.28 and 33,977.28 is: 46,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.32 : 78,137.28 = 33,977.28 : x
  2. Step 2: Convert to fraction form
    56,644.32/78,137.28 = 33,977.28/x
  3. Step 3: Cross multiply
    56,644.32x = 78,137.28 × 33,977.28
  4. Step 4: Simplify right side
    56,644.32x = 2,654,892,241.00
  5. Step 5: Solve for x
    x = 2,654,892,241.00/56,644.32
  6. Step 6: Final answer
    x = 46,869.52

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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.