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Finding the Fourth Proportional to 42,114.60, 63,244.80 and 22,431.60

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Solution

The fourth proportional to 42,114.60, 63,244.80 and 22,431.60 is: 33,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,114.60 : 63,244.80 = 22,431.60 : x
  2. Step 2: Convert to fraction form
    42,114.60/63,244.80 = 22,431.60/x
  3. Step 3: Cross multiply
    42,114.60x = 63,244.80 × 22,431.60
  4. Step 4: Simplify right side
    42,114.60x = 1,418,682,055.68
  5. Step 5: Solve for x
    x = 1,418,682,055.68/42,114.60
  6. Step 6: Final answer
    x = 33,686.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.