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Finding the Fourth Proportional to 51,294.75, 76,946.45 and 14,358.75

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Solution

The fourth proportional to 51,294.75, 76,946.45 and 14,358.75 is: 21,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,294.75 : 76,946.45 = 14,358.75 : x
  2. Step 2: Convert to fraction form
    51,294.75/76,946.45 = 14,358.75/x
  3. Step 3: Cross multiply
    51,294.75x = 76,946.45 × 14,358.75
  4. Step 4: Simplify right side
    51,294.75x = 1,104,854,767.14
  5. Step 5: Solve for x
    x = 1,104,854,767.14/51,294.75
  6. Step 6: Final answer
    x = 21,539.33

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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.