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Finding the Fourth Proportional to 74,486.96, 102,777.28 and 41,782.40

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Solution

The fourth proportional to 74,486.96, 102,777.28 and 41,782.40 is: 57,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,486.96 : 102,777.28 = 41,782.40 : x
  2. Step 2: Convert to fraction form
    74,486.96/102,777.28 = 41,782.40/x
  3. Step 3: Cross multiply
    74,486.96x = 102,777.28 × 41,782.40
  4. Step 4: Simplify right side
    74,486.96x = 4,294,281,423.87
  5. Step 5: Solve for x
    x = 4,294,281,423.87/74,486.96
  6. Step 6: Final answer
    x = 57,651.45

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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.