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Finding the Fourth Proportional to 74,313, 111,484.08 and 32,760

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Solution

The fourth proportional to 74,313, 111,484.08 and 32,760 is: 49,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313 : 111,484.08 = 32,760 : x
  2. Step 2: Convert to fraction form
    74,313/111,484.08 = 32,760/x
  3. Step 3: Cross multiply
    74,313x = 111,484.08 × 32,760
  4. Step 4: Simplify right side
    74,313x = 3,652,218,460.80
  5. Step 5: Solve for x
    x = 3,652,218,460.80/74,313
  6. Step 6: Final answer
    x = 49,146.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.