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Finding the Fourth Proportional to 54,498.84, 75,215.12 and 30,625

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Solution

The fourth proportional to 54,498.84, 75,215.12 and 30,625 is: 42,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498.84 : 75,215.12 = 30,625 : x
  2. Step 2: Convert to fraction form
    54,498.84/75,215.12 = 30,625/x
  3. Step 3: Cross multiply
    54,498.84x = 75,215.12 × 30,625
  4. Step 4: Simplify right side
    54,498.84x = 2,303,463,050
  5. Step 5: Solve for x
    x = 2,303,463,050/54,498.84
  6. Step 6: Final answer
    x = 42,266.28

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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.