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Finding the Fourth Proportional to 34,909.68, 52,452 and 32,810.16

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Solution

The fourth proportional to 34,909.68, 52,452 and 32,810.16 is: 49,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,909.68 : 52,452 = 32,810.16 : x
  2. Step 2: Convert to fraction form
    34,909.68/52,452 = 32,810.16/x
  3. Step 3: Cross multiply
    34,909.68x = 52,452 × 32,810.16
  4. Step 4: Simplify right side
    34,909.68x = 1,720,958,512.32
  5. Step 5: Solve for x
    x = 1,720,958,512.32/34,909.68
  6. Step 6: Final answer
    x = 49,297.46

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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.