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Finding the Fourth Proportional to 32,064.16, 48,054.33 and 17,241.16

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Solution

The fourth proportional to 32,064.16, 48,054.33 and 17,241.16 is: 25,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.16 : 48,054.33 = 17,241.16 : x
  2. Step 2: Convert to fraction form
    32,064.16/48,054.33 = 17,241.16/x
  3. Step 3: Cross multiply
    32,064.16x = 48,054.33 × 17,241.16
  4. Step 4: Simplify right side
    32,064.16x = 828,512,392.22
  5. Step 5: Solve for x
    x = 828,512,392.22/32,064.16
  6. Step 6: Final answer
    x = 25,839.20

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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.