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Finding the Fourth Proportional to 58,882.50, 81,258.66 and 33,732

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Solution

The fourth proportional to 58,882.50, 81,258.66 and 33,732 is: 46,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,882.50 : 81,258.66 = 33,732 : x
  2. Step 2: Convert to fraction form
    58,882.50/81,258.66 = 33,732/x
  3. Step 3: Cross multiply
    58,882.50x = 81,258.66 × 33,732
  4. Step 4: Simplify right side
    58,882.50x = 2,741,017,119.12
  5. Step 5: Solve for x
    x = 2,741,017,119.12/58,882.50
  6. Step 6: Final answer
    x = 46,550.62

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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.