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Finding the Fourth Proportional to 72,343.60, 108,534.30 and 27,971.80

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Solution

The fourth proportional to 72,343.60, 108,534.30 and 27,971.80 is: 41,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,343.60 : 108,534.30 = 27,971.80 : x
  2. Step 2: Convert to fraction form
    72,343.60/108,534.30 = 27,971.80/x
  3. Step 3: Cross multiply
    72,343.60x = 108,534.30 × 27,971.80
  4. Step 4: Simplify right side
    72,343.60x = 3,035,899,732.74
  5. Step 5: Solve for x
    x = 3,035,899,732.74/72,343.60
  6. Step 6: Final answer
    x = 41,965.01

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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.