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Finding the Fourth Proportional to 103,095.86, 154,668.39 and 36,541.80

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Solution

The fourth proportional to 103,095.86, 154,668.39 and 36,541.80 is: 54,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,095.86 : 154,668.39 = 36,541.80 : x
  2. Step 2: Convert to fraction form
    103,095.86/154,668.39 = 36,541.80/x
  3. Step 3: Cross multiply
    103,095.86x = 154,668.39 × 36,541.80
  4. Step 4: Simplify right side
    103,095.86x = 5,651,861,373.70
  5. Step 5: Solve for x
    x = 5,651,861,373.70/103,095.86
  6. Step 6: Final answer
    x = 54,821.42

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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.