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Finding the Fourth Proportional to 37,315.36, 51,494.88 and 20,548

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Solution

The fourth proportional to 37,315.36, 51,494.88 and 20,548 is: 28,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.36 : 51,494.88 = 20,548 : x
  2. Step 2: Convert to fraction form
    37,315.36/51,494.88 = 20,548/x
  3. Step 3: Cross multiply
    37,315.36x = 51,494.88 × 20,548
  4. Step 4: Simplify right side
    37,315.36x = 1,058,116,794.24
  5. Step 5: Solve for x
    x = 1,058,116,794.24/37,315.36
  6. Step 6: Final answer
    x = 28,356.07

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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.