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Finding the Fourth Proportional to 50,907.71, 76,330.89 and 22,822.69

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Solution

The fourth proportional to 50,907.71, 76,330.89 and 22,822.69 is: 34,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,907.71 : 76,330.89 = 22,822.69 : x
  2. Step 2: Convert to fraction form
    50,907.71/76,330.89 = 22,822.69/x
  3. Step 3: Cross multiply
    50,907.71x = 76,330.89 × 22,822.69
  4. Step 4: Simplify right side
    50,907.71x = 1,742,076,049.07
  5. Step 5: Solve for x
    x = 1,742,076,049.07/50,907.71
  6. Step 6: Final answer
    x = 34,220.28

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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.