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Finding the Fourth Proportional to 82,482.12, 113,822.28 and 44,755.56

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Solution

The fourth proportional to 82,482.12, 113,822.28 and 44,755.56 is: 61,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.12 : 113,822.28 = 44,755.56 : x
  2. Step 2: Convert to fraction form
    82,482.12/113,822.28 = 44,755.56/x
  3. Step 3: Cross multiply
    82,482.12x = 113,822.28 × 44,755.56
  4. Step 4: Simplify right side
    82,482.12x = 5,094,179,881.88
  5. Step 5: Solve for x
    x = 5,094,179,881.88/82,482.12
  6. Step 6: Final answer
    x = 61,761.02

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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.