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Finding the Fourth Proportional to 41,117.60, 61,690.80 and 17,760.80

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Solution

The fourth proportional to 41,117.60, 61,690.80 and 17,760.80 is: 26,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,117.60 : 61,690.80 = 17,760.80 : x
  2. Step 2: Convert to fraction form
    41,117.60/61,690.80 = 17,760.80/x
  3. Step 3: Cross multiply
    41,117.60x = 61,690.80 × 17,760.80
  4. Step 4: Simplify right side
    41,117.60x = 1,095,677,960.64
  5. Step 5: Solve for x
    x = 1,095,677,960.64/41,117.60
  6. Step 6: Final answer
    x = 26,647.42

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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.