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Finding the Fourth Proportional to 72,937.31, 109,417.64 and 30,817.80

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Solution

The fourth proportional to 72,937.31, 109,417.64 and 30,817.80 is: 46,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,937.31 : 109,417.64 = 30,817.80 : x
  2. Step 2: Convert to fraction form
    72,937.31/109,417.64 = 30,817.80/x
  3. Step 3: Cross multiply
    72,937.31x = 109,417.64 × 30,817.80
  4. Step 4: Simplify right side
    72,937.31x = 3,372,010,330.30
  5. Step 5: Solve for x
    x = 3,372,010,330.30/72,937.31
  6. Step 6: Final answer
    x = 46,231.63

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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.