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Finding the Fourth Proportional to 37,685.70, 51,875.76 and 32,578.86

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Solution

The fourth proportional to 37,685.70, 51,875.76 and 32,578.86 is: 44,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,685.70 : 51,875.76 = 32,578.86 : x
  2. Step 2: Convert to fraction form
    37,685.70/51,875.76 = 32,578.86/x
  3. Step 3: Cross multiply
    37,685.70x = 51,875.76 × 32,578.86
  4. Step 4: Simplify right side
    37,685.70x = 1,690,053,122.43
  5. Step 5: Solve for x
    x = 1,690,053,122.43/37,685.70
  6. Step 6: Final answer
    x = 44,846.01

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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.