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Finding the Fourth Proportional to 37,957.31, 56,942.10 and 14,266.70

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Solution

The fourth proportional to 37,957.31, 56,942.10 and 14,266.70 is: 21,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,957.31 : 56,942.10 = 14,266.70 : x
  2. Step 2: Convert to fraction form
    37,957.31/56,942.10 = 14,266.70/x
  3. Step 3: Cross multiply
    37,957.31x = 56,942.10 × 14,266.70
  4. Step 4: Simplify right side
    37,957.31x = 812,375,573.36
  5. Step 5: Solve for x
    x = 812,375,573.36/37,957.31
  6. Step 6: Final answer
    x = 21,402.35

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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.