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Finding the Fourth Proportional to 37,705.89, 52,000.74 and 28,731.90

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Solution

The fourth proportional to 37,705.89, 52,000.74 and 28,731.90 is: 39,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,705.89 : 52,000.74 = 28,731.90 : x
  2. Step 2: Convert to fraction form
    37,705.89/52,000.74 = 28,731.90/x
  3. Step 3: Cross multiply
    37,705.89x = 52,000.74 × 28,731.90
  4. Step 4: Simplify right side
    37,705.89x = 1,494,080,061.61
  5. Step 5: Solve for x
    x = 1,494,080,061.61/37,705.89
  6. Step 6: Final answer
    x = 39,624.58

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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.