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Finding the Fourth Proportional to 74,390.72, 102,658.86 and 40,398.96

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Solution

The fourth proportional to 74,390.72, 102,658.86 and 40,398.96 is: 55,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390.72 : 102,658.86 = 40,398.96 : x
  2. Step 2: Convert to fraction form
    74,390.72/102,658.86 = 40,398.96/x
  3. Step 3: Cross multiply
    74,390.72x = 102,658.86 × 40,398.96
  4. Step 4: Simplify right side
    74,390.72x = 4,147,311,178.79
  5. Step 5: Solve for x
    x = 4,147,311,178.79/74,390.72
  6. Step 6: Final answer
    x = 55,750.39

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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.