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Finding the Fourth Proportional to 103,094.86, 154,666.89 and 36,540.80

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Solution

The fourth proportional to 103,094.86, 154,666.89 and 36,540.80 is: 54,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,094.86 : 154,666.89 = 36,540.80 : x
  2. Step 2: Convert to fraction form
    103,094.86/154,666.89 = 36,540.80/x
  3. Step 3: Cross multiply
    103,094.86x = 154,666.89 × 36,540.80
  4. Step 4: Simplify right side
    103,094.86x = 5,651,651,894.11
  5. Step 5: Solve for x
    x = 5,651,651,894.11/103,094.86
  6. Step 6: Final answer
    x = 54,819.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.