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Finding the Fourth Proportional to 37,423.98, 51,595.46 and 31,026.42

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Solution

The fourth proportional to 37,423.98, 51,595.46 and 31,026.42 is: 42,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,423.98 : 51,595.46 = 31,026.42 : x
  2. Step 2: Convert to fraction form
    37,423.98/51,595.46 = 31,026.42/x
  3. Step 3: Cross multiply
    37,423.98x = 51,595.46 × 31,026.42
  4. Step 4: Simplify right side
    37,423.98x = 1,600,822,412.05
  5. Step 5: Solve for x
    x = 1,600,822,412.05/37,423.98
  6. Step 6: Final answer
    x = 42,775.31

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