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Finding the Fourth Proportional to 53,643.60, 80,465.40 and 41,226.30

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Solution

The fourth proportional to 53,643.60, 80,465.40 and 41,226.30 is: 61,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.60 : 80,465.40 = 41,226.30 : x
  2. Step 2: Convert to fraction form
    53,643.60/80,465.40 = 41,226.30/x
  3. Step 3: Cross multiply
    53,643.60x = 80,465.40 × 41,226.30
  4. Step 4: Simplify right side
    53,643.60x = 3,317,290,720.02
  5. Step 5: Solve for x
    x = 3,317,290,720.02/53,643.60
  6. Step 6: Final answer
    x = 61,839.45

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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.