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Finding the Fourth Proportional to 71,200.90, 106,768.95 and 37,912.42

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Solution

The fourth proportional to 71,200.90, 106,768.95 and 37,912.42 is: 56,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.90 : 106,768.95 = 37,912.42 : x
  2. Step 2: Convert to fraction form
    71,200.90/106,768.95 = 37,912.42/x
  3. Step 3: Cross multiply
    71,200.90x = 106,768.95 × 37,912.42
  4. Step 4: Simplify right side
    71,200.90x = 4,047,869,275.36
  5. Step 5: Solve for x
    x = 4,047,869,275.36/71,200.90
  6. Step 6: Final answer
    x = 56,851.38

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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.