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Finding the Fourth Proportional to 52,873.14, 72,964.98 and 29,000.28

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Solution

The fourth proportional to 52,873.14, 72,964.98 and 29,000.28 is: 40,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,873.14 : 72,964.98 = 29,000.28 : x
  2. Step 2: Convert to fraction form
    52,873.14/72,964.98 = 29,000.28/x
  3. Step 3: Cross multiply
    52,873.14x = 72,964.98 × 29,000.28
  4. Step 4: Simplify right side
    52,873.14x = 2,116,004,850.19
  5. Step 5: Solve for x
    x = 2,116,004,850.19/52,873.14
  6. Step 6: Final answer
    x = 40,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.