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Finding the Fourth Proportional to 73,985.28, 110,993.28 and 24,736

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Solution

The fourth proportional to 73,985.28, 110,993.28 and 24,736 is: 37,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985.28 : 110,993.28 = 24,736 : x
  2. Step 2: Convert to fraction form
    73,985.28/110,993.28 = 24,736/x
  3. Step 3: Cross multiply
    73,985.28x = 110,993.28 × 24,736
  4. Step 4: Simplify right side
    73,985.28x = 2,745,529,774.08
  5. Step 5: Solve for x
    x = 2,745,529,774.08/73,985.28
  6. Step 6: Final answer
    x = 37,109.14

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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.