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Finding the Fourth Proportional to 74,527.89, 102,845.50 and 40,536.40

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Solution

The fourth proportional to 74,527.89, 102,845.50 and 40,536.40 is: 55,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,527.89 : 102,845.50 = 40,536.40 : x
  2. Step 2: Convert to fraction form
    74,527.89/102,845.50 = 40,536.40/x
  3. Step 3: Cross multiply
    74,527.89x = 102,845.50 × 40,536.40
  4. Step 4: Simplify right side
    74,527.89x = 4,168,986,326.20
  5. Step 5: Solve for x
    x = 4,168,986,326.20/74,527.89
  6. Step 6: Final answer
    x = 55,938.61

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Why These Related Problems?

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