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Finding the Fourth Proportional to 52,073.54, 78,005.72 and 23,954.49

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Solution

The fourth proportional to 52,073.54, 78,005.72 and 23,954.49 is: 35,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,073.54 : 78,005.72 = 23,954.49 : x
  2. Step 2: Convert to fraction form
    52,073.54/78,005.72 = 23,954.49/x
  3. Step 3: Cross multiply
    52,073.54x = 78,005.72 × 23,954.49
  4. Step 4: Simplify right side
    52,073.54x = 1,868,587,119.91
  5. Step 5: Solve for x
    x = 1,868,587,119.91/52,073.54
  6. Step 6: Final answer
    x = 35,883.62

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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.