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Finding the Fourth Proportional to 75,539.60, 113,325.60 and 22,954.40

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Solution

The fourth proportional to 75,539.60, 113,325.60 and 22,954.40 is: 34,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,539.60 : 113,325.60 = 22,954.40 : x
  2. Step 2: Convert to fraction form
    75,539.60/113,325.60 = 22,954.40/x
  3. Step 3: Cross multiply
    75,539.60x = 113,325.60 × 22,954.40
  4. Step 4: Simplify right side
    75,539.60x = 2,601,321,152.64
  5. Step 5: Solve for x
    x = 2,601,321,152.64/75,539.60
  6. Step 6: Final answer
    x = 34,436.52

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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.