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Finding the Fourth Proportional to 57,172.60, 78,898.02 and 32,973.46

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Solution

The fourth proportional to 57,172.60, 78,898.02 and 32,973.46 is: 45,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,172.60 : 78,898.02 = 32,973.46 : x
  2. Step 2: Convert to fraction form
    57,172.60/78,898.02 = 32,973.46/x
  3. Step 3: Cross multiply
    57,172.60x = 78,898.02 × 32,973.46
  4. Step 4: Simplify right side
    57,172.60x = 2,601,540,706.55
  5. Step 5: Solve for x
    x = 2,601,540,706.55/57,172.60
  6. Step 6: Final answer
    x = 45,503.28

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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.