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Finding the Fourth Proportional to 57,902.04, 86,865.82 and 32,953.84

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Solution

The fourth proportional to 57,902.04, 86,865.82 and 32,953.84 is: 49,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.04 : 86,865.82 = 32,953.84 : x
  2. Step 2: Convert to fraction form
    57,902.04/86,865.82 = 32,953.84/x
  3. Step 3: Cross multiply
    57,902.04x = 86,865.82 × 32,953.84
  4. Step 4: Simplify right side
    57,902.04x = 2,862,562,034.20
  5. Step 5: Solve for x
    x = 2,862,562,034.20/57,902.04
  6. Step 6: Final answer
    x = 49,438.02

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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.