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Finding the Fourth Proportional to 41,137.60, 61,684.80 and 14,838.40

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Solution

The fourth proportional to 41,137.60, 61,684.80 and 14,838.40 is: 22,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,137.60 : 61,684.80 = 14,838.40 : x
  2. Step 2: Convert to fraction form
    41,137.60/61,684.80 = 14,838.40/x
  3. Step 3: Cross multiply
    41,137.60x = 61,684.80 × 14,838.40
  4. Step 4: Simplify right side
    41,137.60x = 915,303,736.32
  5. Step 5: Solve for x
    x = 915,303,736.32/41,137.60
  6. Step 6: Final answer
    x = 22,249.81

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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.