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Finding the Fourth Proportional to 38,486.56, 57,645.60 and 22,869.76

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Solution

The fourth proportional to 38,486.56, 57,645.60 and 22,869.76 is: 34,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.56 : 57,645.60 = 22,869.76 : x
  2. Step 2: Convert to fraction form
    38,486.56/57,645.60 = 22,869.76/x
  3. Step 3: Cross multiply
    38,486.56x = 57,645.60 × 22,869.76
  4. Step 4: Simplify right side
    38,486.56x = 1,318,341,037.06
  5. Step 5: Solve for x
    x = 1,318,341,037.06/38,486.56
  6. Step 6: Final answer
    x = 34,254.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.