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Finding the Fourth Proportional to 58,772, 81,105.36 and 32,276

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Solution

The fourth proportional to 58,772, 81,105.36 and 32,276 is: 44,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,772 : 81,105.36 = 32,276 : x
  2. Step 2: Convert to fraction form
    58,772/81,105.36 = 32,276/x
  3. Step 3: Cross multiply
    58,772x = 81,105.36 × 32,276
  4. Step 4: Simplify right side
    58,772x = 2,617,756,599.36
  5. Step 5: Solve for x
    x = 2,617,756,599.36/58,772
  6. Step 6: Final answer
    x = 44,540.88

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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.