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Finding the Fourth Proportional to 32,538.96, 48,674.79 and 25,977.96

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Solution

The fourth proportional to 32,538.96, 48,674.79 and 25,977.96 is: 38,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.96 : 48,674.79 = 25,977.96 : x
  2. Step 2: Convert to fraction form
    32,538.96/48,674.79 = 25,977.96/x
  3. Step 3: Cross multiply
    32,538.96x = 48,674.79 × 25,977.96
  4. Step 4: Simplify right side
    32,538.96x = 1,264,471,747.63
  5. Step 5: Solve for x
    x = 1,264,471,747.63/32,538.96
  6. Step 6: Final answer
    x = 38,860.24

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Why These Related Problems?

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