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Finding the Fourth Proportional to 40,744.79, 61,134.75 and 22,038

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Solution

The fourth proportional to 40,744.79, 61,134.75 and 22,038 is: 33,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,744.79 : 61,134.75 = 22,038 : x
  2. Step 2: Convert to fraction form
    40,744.79/61,134.75 = 22,038/x
  3. Step 3: Cross multiply
    40,744.79x = 61,134.75 × 22,038
  4. Step 4: Simplify right side
    40,744.79x = 1,347,287,620.50
  5. Step 5: Solve for x
    x = 1,347,287,620.50/40,744.79
  6. Step 6: Final answer
    x = 33,066.50

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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.