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Finding the Fourth Proportional to 37,437.80, 51,674.10 and 21,524

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Solution

The fourth proportional to 37,437.80, 51,674.10 and 21,524 is: 29,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,437.80 : 51,674.10 = 21,524 : x
  2. Step 2: Convert to fraction form
    37,437.80/51,674.10 = 21,524/x
  3. Step 3: Cross multiply
    37,437.80x = 51,674.10 × 21,524
  4. Step 4: Simplify right side
    37,437.80x = 1,112,233,328.40
  5. Step 5: Solve for x
    x = 1,112,233,328.40/37,437.80
  6. Step 6: Final answer
    x = 29,708.83

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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.