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Finding the Fourth Proportional to 55,977.58, 77,264.94 and 36,871.30

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Solution

The fourth proportional to 55,977.58, 77,264.94 and 36,871.30 is: 50,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,977.58 : 77,264.94 = 36,871.30 : x
  2. Step 2: Convert to fraction form
    55,977.58/77,264.94 = 36,871.30/x
  3. Step 3: Cross multiply
    55,977.58x = 77,264.94 × 36,871.30
  4. Step 4: Simplify right side
    55,977.58x = 2,848,858,809.67
  5. Step 5: Solve for x
    x = 2,848,858,809.67/55,977.58
  6. Step 6: Final answer
    x = 50,892.85

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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.