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Finding the Fourth Proportional to 52,952.24, 73,071.24 and 30,291.68

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Solution

The fourth proportional to 52,952.24, 73,071.24 and 30,291.68 is: 41,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.24 : 73,071.24 = 30,291.68 : x
  2. Step 2: Convert to fraction form
    52,952.24/73,071.24 = 30,291.68/x
  3. Step 3: Cross multiply
    52,952.24x = 73,071.24 × 30,291.68
  4. Step 4: Simplify right side
    52,952.24x = 2,213,450,619.28
  5. Step 5: Solve for x
    x = 2,213,450,619.28/52,952.24
  6. Step 6: Final answer
    x = 41,800.89

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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.