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Finding the Fourth Proportional to 51,807.44, 71,494.38 and 30,588.08

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Solution

The fourth proportional to 51,807.44, 71,494.38 and 30,588.08 is: 42,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.44 : 71,494.38 = 30,588.08 : x
  2. Step 2: Convert to fraction form
    51,807.44/71,494.38 = 30,588.08/x
  3. Step 3: Cross multiply
    51,807.44x = 71,494.38 × 30,588.08
  4. Step 4: Simplify right side
    51,807.44x = 2,186,875,814.99
  5. Step 5: Solve for x
    x = 2,186,875,814.99/51,807.44
  6. Step 6: Final answer
    x = 42,211.62

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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.