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Finding the Fourth Proportional to 37,505.84, 51,757.52 and 20,509.74

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Solution

The fourth proportional to 37,505.84, 51,757.52 and 20,509.74 is: 28,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.84 : 51,757.52 = 20,509.74 : x
  2. Step 2: Convert to fraction form
    37,505.84/51,757.52 = 20,509.74/x
  3. Step 3: Cross multiply
    37,505.84x = 51,757.52 × 20,509.74
  4. Step 4: Simplify right side
    37,505.84x = 1,061,533,175.70
  5. Step 5: Solve for x
    x = 1,061,533,175.70/37,505.84
  6. Step 6: Final answer
    x = 28,303.15

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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.