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Finding the Fourth Proportional to 37,624.50, 51,903.36 and 31,653.90

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Solution

The fourth proportional to 37,624.50, 51,903.36 and 31,653.90 is: 43,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,624.50 : 51,903.36 = 31,653.90 : x
  2. Step 2: Convert to fraction form
    37,624.50/51,903.36 = 31,653.90/x
  3. Step 3: Cross multiply
    37,624.50x = 51,903.36 × 31,653.90
  4. Step 4: Simplify right side
    37,624.50x = 1,642,943,767.10
  5. Step 5: Solve for x
    x = 1,642,943,767.10/37,624.50
  6. Step 6: Final answer
    x = 43,666.86

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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.