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Finding the Fourth Proportional to 43,598.25, 65,421 and 33,756.75

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Solution

The fourth proportional to 43,598.25, 65,421 and 33,756.75 is: 50,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,598.25 : 65,421 = 33,756.75 : x
  2. Step 2: Convert to fraction form
    43,598.25/65,421 = 33,756.75/x
  3. Step 3: Cross multiply
    43,598.25x = 65,421 × 33,756.75
  4. Step 4: Simplify right side
    43,598.25x = 2,208,400,341.75
  5. Step 5: Solve for x
    x = 2,208,400,341.75/43,598.25
  6. Step 6: Final answer
    x = 50,653.42

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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.