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Finding the Fourth Proportional to 74,409.69, 102,687.20 and 40,417.80

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Solution

The fourth proportional to 74,409.69, 102,687.20 and 40,417.80 is: 55,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,409.69 : 102,687.20 = 40,417.80 : x
  2. Step 2: Convert to fraction form
    74,409.69/102,687.20 = 40,417.80/x
  3. Step 3: Cross multiply
    74,409.69x = 102,687.20 × 40,417.80
  4. Step 4: Simplify right side
    74,409.69x = 4,150,390,712.16
  5. Step 5: Solve for x
    x = 4,150,390,712.16/74,409.69
  6. Step 6: Final answer
    x = 55,777.56

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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.