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Finding the Fourth Proportional to 46,342.59, 69,452.36 and 24,150

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Solution

The fourth proportional to 46,342.59, 69,452.36 and 24,150 is: 36,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,342.59 : 69,452.36 = 24,150 : x
  2. Step 2: Convert to fraction form
    46,342.59/69,452.36 = 24,150/x
  3. Step 3: Cross multiply
    46,342.59x = 69,452.36 × 24,150
  4. Step 4: Simplify right side
    46,342.59x = 1,677,274,494
  5. Step 5: Solve for x
    x = 1,677,274,494/46,342.59
  6. Step 6: Final answer
    x = 36,192.94

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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.