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Finding the Fourth Proportional to 37,965.33, 52,392.53 and 20,970

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Solution

The fourth proportional to 37,965.33, 52,392.53 and 20,970 is: 28,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,965.33 : 52,392.53 = 20,970 : x
  2. Step 2: Convert to fraction form
    37,965.33/52,392.53 = 20,970/x
  3. Step 3: Cross multiply
    37,965.33x = 52,392.53 × 20,970
  4. Step 4: Simplify right side
    37,965.33x = 1,098,671,406.53
  5. Step 5: Solve for x
    x = 1,098,671,406.53/37,965.33
  6. Step 6: Final answer
    x = 28,938.81

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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.