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Finding the Fourth Proportional to 82,100.25, 113,298.48 and 44,374.50

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Solution

The fourth proportional to 82,100.25, 113,298.48 and 44,374.50 is: 61,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.25 : 113,298.48 = 44,374.50 : x
  2. Step 2: Convert to fraction form
    82,100.25/113,298.48 = 44,374.50/x
  3. Step 3: Cross multiply
    82,100.25x = 113,298.48 × 44,374.50
  4. Step 4: Simplify right side
    82,100.25x = 5,027,563,400.76
  5. Step 5: Solve for x
    x = 5,027,563,400.76/82,100.25
  6. Step 6: Final answer
    x = 61,236.88

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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.