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Finding the Fourth Proportional to 38,466.68, 57,602.01 and 32,561.78

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Solution

The fourth proportional to 38,466.68, 57,602.01 and 32,561.78 is: 48,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.68 : 57,602.01 = 32,561.78 : x
  2. Step 2: Convert to fraction form
    38,466.68/57,602.01 = 32,561.78/x
  3. Step 3: Cross multiply
    38,466.68x = 57,602.01 × 32,561.78
  4. Step 4: Simplify right side
    38,466.68x = 1,875,623,977.18
  5. Step 5: Solve for x
    x = 1,875,623,977.18/38,466.68
  6. Step 6: Final answer
    x = 48,759.71

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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.