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Finding the Fourth Proportional to 37,672.70, 56,509.05 and 31,106.30

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Solution

The fourth proportional to 37,672.70, 56,509.05 and 31,106.30 is: 46,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672.70 : 56,509.05 = 31,106.30 : x
  2. Step 2: Convert to fraction form
    37,672.70/56,509.05 = 31,106.30/x
  3. Step 3: Cross multiply
    37,672.70x = 56,509.05 × 31,106.30
  4. Step 4: Simplify right side
    37,672.70x = 1,757,787,462.02
  5. Step 5: Solve for x
    x = 1,757,787,462.02/37,672.70
  6. Step 6: Final answer
    x = 46,659.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.