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Finding the Fourth Proportional to 51,783.40, 71,423.22 and 33,849.64

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Solution

The fourth proportional to 51,783.40, 71,423.22 and 33,849.64 is: 46,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.40 : 71,423.22 = 33,849.64 : x
  2. Step 2: Convert to fraction form
    51,783.40/71,423.22 = 33,849.64/x
  3. Step 3: Cross multiply
    51,783.40x = 71,423.22 × 33,849.64
  4. Step 4: Simplify right side
    51,783.40x = 2,417,650,284.64
  5. Step 5: Solve for x
    x = 2,417,650,284.64/51,783.40
  6. Step 6: Final answer
    x = 46,687.75

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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.