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Finding the Fourth Proportional to 59,954.72, 82,737.36 and 33,097.28

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Solution

The fourth proportional to 59,954.72, 82,737.36 and 33,097.28 is: 45,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,954.72 : 82,737.36 = 33,097.28 : x
  2. Step 2: Convert to fraction form
    59,954.72/82,737.36 = 33,097.28/x
  3. Step 3: Cross multiply
    59,954.72x = 82,737.36 × 33,097.28
  4. Step 4: Simplify right side
    59,954.72x = 2,738,381,570.38
  5. Step 5: Solve for x
    x = 2,738,381,570.38/59,954.72
  6. Step 6: Final answer
    x = 45,674.16

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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.