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Finding the Fourth Proportional to 74,567.82, 102,904.02 and 40,576.80

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Solution

The fourth proportional to 74,567.82, 102,904.02 and 40,576.80 is: 55,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567.82 : 102,904.02 = 40,576.80 : x
  2. Step 2: Convert to fraction form
    74,567.82/102,904.02 = 40,576.80/x
  3. Step 3: Cross multiply
    74,567.82x = 102,904.02 × 40,576.80
  4. Step 4: Simplify right side
    74,567.82x = 4,175,515,838.74
  5. Step 5: Solve for x
    x = 4,175,515,838.74/74,567.82
  6. Step 6: Final answer
    x = 55,996.22

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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.