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Finding the Fourth Proportional to 74,576.82, 102,918.14 and 40,587.50

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Solution

The fourth proportional to 74,576.82, 102,918.14 and 40,587.50 is: 56,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576.82 : 102,918.14 = 40,587.50 : x
  2. Step 2: Convert to fraction form
    74,576.82/102,918.14 = 40,587.50/x
  3. Step 3: Cross multiply
    74,576.82x = 102,918.14 × 40,587.50
  4. Step 4: Simplify right side
    74,576.82x = 4,177,189,863.20
  5. Step 5: Solve for x
    x = 4,177,189,863.20/74,576.82
  6. Step 6: Final answer
    x = 56,011.91

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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.