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Finding the Fourth Proportional to 73,965.13, 102,073.49 and 40,431.13

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Solution

The fourth proportional to 73,965.13, 102,073.49 and 40,431.13 is: 55,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,965.13 : 102,073.49 = 40,431.13 : x
  2. Step 2: Convert to fraction form
    73,965.13/102,073.49 = 40,431.13/x
  3. Step 3: Cross multiply
    73,965.13x = 102,073.49 × 40,431.13
  4. Step 4: Simplify right side
    73,965.13x = 4,126,946,543.74
  5. Step 5: Solve for x
    x = 4,126,946,543.74/73,965.13
  6. Step 6: Final answer
    x = 55,795.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.