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Finding the Fourth Proportional to 60,442.42, 83,384.67 and 37,742

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Solution

The fourth proportional to 60,442.42, 83,384.67 and 37,742 is: 52,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,442.42 : 83,384.67 = 37,742 : x
  2. Step 2: Convert to fraction form
    60,442.42/83,384.67 = 37,742/x
  3. Step 3: Cross multiply
    60,442.42x = 83,384.67 × 37,742
  4. Step 4: Simplify right side
    60,442.42x = 3,147,104,026.43
  5. Step 5: Solve for x
    x = 3,147,104,026.43/60,442.42
  6. Step 6: Final answer
    x = 52,067.80

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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.