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Finding the Fourth Proportional to 51,282.60, 76,859.10 and 24,930.60

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Solution

The fourth proportional to 51,282.60, 76,859.10 and 24,930.60 is: 37,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282.60 : 76,859.10 = 24,930.60 : x
  2. Step 2: Convert to fraction form
    51,282.60/76,859.10 = 24,930.60/x
  3. Step 3: Cross multiply
    51,282.60x = 76,859.10 × 24,930.60
  4. Step 4: Simplify right side
    51,282.60x = 1,916,143,478.46
  5. Step 5: Solve for x
    x = 1,916,143,478.46/51,282.60
  6. Step 6: Final answer
    x = 37,364.40

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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.