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Finding the Fourth Proportional to 52,952.38, 73,090.68 and 34,089.50

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Solution

The fourth proportional to 52,952.38, 73,090.68 and 34,089.50 is: 47,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.38 : 73,090.68 = 34,089.50 : x
  2. Step 2: Convert to fraction form
    52,952.38/73,090.68 = 34,089.50/x
  3. Step 3: Cross multiply
    52,952.38x = 73,090.68 × 34,089.50
  4. Step 4: Simplify right side
    52,952.38x = 2,491,624,735.86
  5. Step 5: Solve for x
    x = 2,491,624,735.86/52,952.38
  6. Step 6: Final answer
    x = 47,054.07

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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.