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Finding the Fourth Proportional to 75,418.49, 113,175.39 and 42,160.40

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Solution

The fourth proportional to 75,418.49, 113,175.39 and 42,160.40 is: 63,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,418.49 : 113,175.39 = 42,160.40 : x
  2. Step 2: Convert to fraction form
    75,418.49/113,175.39 = 42,160.40/x
  3. Step 3: Cross multiply
    75,418.49x = 113,175.39 × 42,160.40
  4. Step 4: Simplify right side
    75,418.49x = 4,771,519,729.19
  5. Step 5: Solve for x
    x = 4,771,519,729.19/75,418.49
  6. Step 6: Final answer
    x = 63,267.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.