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Finding the Fourth Proportional to 74,353.50, 102,609.99 and 40,821.66

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Solution

The fourth proportional to 74,353.50, 102,609.99 and 40,821.66 is: 56,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,353.50 : 102,609.99 = 40,821.66 : x
  2. Step 2: Convert to fraction form
    74,353.50/102,609.99 = 40,821.66/x
  3. Step 3: Cross multiply
    74,353.50x = 102,609.99 × 40,821.66
  4. Step 4: Simplify right side
    74,353.50x = 4,188,710,124.38
  5. Step 5: Solve for x
    x = 4,188,710,124.38/74,353.50
  6. Step 6: Final answer
    x = 56,335.08

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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.