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Finding the Fourth Proportional to 57,202, 78,942 and 32,059.60

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Solution

The fourth proportional to 57,202, 78,942 and 32,059.60 is: 44,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202 : 78,942 = 32,059.60 : x
  2. Step 2: Convert to fraction form
    57,202/78,942 = 32,059.60/x
  3. Step 3: Cross multiply
    57,202x = 78,942 × 32,059.60
  4. Step 4: Simplify right side
    57,202x = 2,530,848,943.20
  5. Step 5: Solve for x
    x = 2,530,848,943.20/57,202
  6. Step 6: Final answer
    x = 44,244.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.