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Finding the Fourth Proportional to 46,016, 63,476.16 and 30,096.80

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Solution

The fourth proportional to 46,016, 63,476.16 and 30,096.80 is: 41,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,016 : 63,476.16 = 30,096.80 : x
  2. Step 2: Convert to fraction form
    46,016/63,476.16 = 30,096.80/x
  3. Step 3: Cross multiply
    46,016x = 63,476.16 × 30,096.80
  4. Step 4: Simplify right side
    46,016x = 1,910,429,292.29
  5. Step 5: Solve for x
    x = 1,910,429,292.29/46,016
  6. Step 6: Final answer
    x = 41,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.