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Finding the Fourth Proportional to 59,072, 81,519.36 and 32,576

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Solution

The fourth proportional to 59,072, 81,519.36 and 32,576 is: 44,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,072 : 81,519.36 = 32,576 : x
  2. Step 2: Convert to fraction form
    59,072/81,519.36 = 32,576/x
  3. Step 3: Cross multiply
    59,072x = 81,519.36 × 32,576
  4. Step 4: Simplify right side
    59,072x = 2,655,574,671.36
  5. Step 5: Solve for x
    x = 2,655,574,671.36/59,072
  6. Step 6: Final answer
    x = 44,954.88

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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.