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Finding the Fourth Proportional to 37,186.50, 51,320.12 and 23,042.10

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Solution

The fourth proportional to 37,186.50, 51,320.12 and 23,042.10 is: 31,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186.50 : 51,320.12 = 23,042.10 : x
  2. Step 2: Convert to fraction form
    37,186.50/51,320.12 = 23,042.10/x
  3. Step 3: Cross multiply
    37,186.50x = 51,320.12 × 23,042.10
  4. Step 4: Simplify right side
    37,186.50x = 1,182,523,221.84
  5. Step 5: Solve for x
    x = 1,182,523,221.84/37,186.50
  6. Step 6: Final answer
    x = 31,799.80

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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.