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Finding the Fourth Proportional to 103,522.80, 155,284.20 and 36,965.10

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Solution

The fourth proportional to 103,522.80, 155,284.20 and 36,965.10 is: 55,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,522.80 : 155,284.20 = 36,965.10 : x
  2. Step 2: Convert to fraction form
    103,522.80/155,284.20 = 36,965.10/x
  3. Step 3: Cross multiply
    103,522.80x = 155,284.20 × 36,965.10
  4. Step 4: Simplify right side
    103,522.80x = 5,740,095,981.42
  5. Step 5: Solve for x
    x = 5,740,095,981.42/103,522.80
  6. Step 6: Final answer
    x = 55,447.65

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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.