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Finding the Fourth Proportional to 50,564.40, 75,845.88 and 22,862.40

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Solution

The fourth proportional to 50,564.40, 75,845.88 and 22,862.40 is: 34,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.40 : 75,845.88 = 22,862.40 : x
  2. Step 2: Convert to fraction form
    50,564.40/75,845.88 = 22,862.40/x
  3. Step 3: Cross multiply
    50,564.40x = 75,845.88 × 22,862.40
  4. Step 4: Simplify right side
    50,564.40x = 1,734,018,846.91
  5. Step 5: Solve for x
    x = 1,734,018,846.91/50,564.40
  6. Step 6: Final answer
    x = 34,293.27

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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.