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Finding the Fourth Proportional to 50,965.84, 76,478.81 and 19,402.45

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Solution

The fourth proportional to 50,965.84, 76,478.81 and 19,402.45 is: 29,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.84 : 76,478.81 = 19,402.45 : x
  2. Step 2: Convert to fraction form
    50,965.84/76,478.81 = 19,402.45/x
  3. Step 3: Cross multiply
    50,965.84x = 76,478.81 × 19,402.45
  4. Step 4: Simplify right side
    50,965.84x = 1,483,876,287.08
  5. Step 5: Solve for x
    x = 1,483,876,287.08/50,965.84
  6. Step 6: Final answer
    x = 29,115.11

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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.