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Finding the Fourth Proportional to 37,762.36, 52,113.54 and 20,995

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Solution

The fourth proportional to 37,762.36, 52,113.54 and 20,995 is: 28,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.36 : 52,113.54 = 20,995 : x
  2. Step 2: Convert to fraction form
    37,762.36/52,113.54 = 20,995/x
  3. Step 3: Cross multiply
    37,762.36x = 52,113.54 × 20,995
  4. Step 4: Simplify right side
    37,762.36x = 1,094,123,772.30
  5. Step 5: Solve for x
    x = 1,094,123,772.30/37,762.36
  6. Step 6: Final answer
    x = 28,973.92

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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.