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Finding the Fourth Proportional to 52,919.66, 73,035.87 and 30,563.66

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Solution

The fourth proportional to 52,919.66, 73,035.87 and 30,563.66 is: 42,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,919.66 : 73,035.87 = 30,563.66 : x
  2. Step 2: Convert to fraction form
    52,919.66/73,035.87 = 30,563.66/x
  3. Step 3: Cross multiply
    52,919.66x = 73,035.87 × 30,563.66
  4. Step 4: Simplify right side
    52,919.66x = 2,232,243,498.48
  5. Step 5: Solve for x
    x = 2,232,243,498.48/52,919.66
  6. Step 6: Final answer
    x = 42,181.74

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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.