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Finding the Fourth Proportional to 46,175.78, 69,265.76 and 14,152.54

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Solution

The fourth proportional to 46,175.78, 69,265.76 and 14,152.54 is: 21,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,175.78 : 69,265.76 = 14,152.54 : x
  2. Step 2: Convert to fraction form
    46,175.78/69,265.76 = 14,152.54/x
  3. Step 3: Cross multiply
    46,175.78x = 69,265.76 × 14,152.54
  4. Step 4: Simplify right side
    46,175.78x = 980,286,439.03
  5. Step 5: Solve for x
    x = 980,286,439.03/46,175.78
  6. Step 6: Final answer
    x = 21,229.45

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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.