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Finding the Fourth Proportional to 50,584.60, 75,876.90 and 19,420.60

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Solution

The fourth proportional to 50,584.60, 75,876.90 and 19,420.60 is: 29,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.60 : 75,876.90 = 19,420.60 : x
  2. Step 2: Convert to fraction form
    50,584.60/75,876.90 = 19,420.60/x
  3. Step 3: Cross multiply
    50,584.60x = 75,876.90 × 19,420.60
  4. Step 4: Simplify right side
    50,584.60x = 1,473,574,924.14
  5. Step 5: Solve for x
    x = 1,473,574,924.14/50,584.60
  6. Step 6: Final answer
    x = 29,130.90

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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.