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Finding the Fourth Proportional to 54,672.84, 75,460.80 and 35,799

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Solution

The fourth proportional to 54,672.84, 75,460.80 and 35,799 is: 49,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672.84 : 75,460.80 = 35,799 : x
  2. Step 2: Convert to fraction form
    54,672.84/75,460.80 = 35,799/x
  3. Step 3: Cross multiply
    54,672.84x = 75,460.80 × 35,799
  4. Step 4: Simplify right side
    54,672.84x = 2,701,421,179.20
  5. Step 5: Solve for x
    x = 2,701,421,179.20/54,672.84
  6. Step 6: Final answer
    x = 49,410.66

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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.