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Finding the Fourth Proportional to 58,800, 81,144 and 32,304

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Solution

The fourth proportional to 58,800, 81,144 and 32,304 is: 44,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,800 : 81,144 = 32,304 : x
  2. Step 2: Convert to fraction form
    58,800/81,144 = 32,304/x
  3. Step 3: Cross multiply
    58,800x = 81,144 × 32,304
  4. Step 4: Simplify right side
    58,800x = 2,621,275,776
  5. Step 5: Solve for x
    x = 2,621,275,776/58,800
  6. Step 6: Final answer
    x = 44,579.52

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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.