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Finding the Fourth Proportional to 32,530.84, 48,796.28 and 9,157.28

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Solution

The fourth proportional to 32,530.84, 48,796.28 and 9,157.28 is: 13,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.84 : 48,796.28 = 9,157.28 : x
  2. Step 2: Convert to fraction form
    32,530.84/48,796.28 = 9,157.28/x
  3. Step 3: Cross multiply
    32,530.84x = 48,796.28 × 9,157.28
  4. Step 4: Simplify right side
    32,530.84x = 446,841,198.92
  5. Step 5: Solve for x
    x = 446,841,198.92/32,530.84
  6. Step 6: Final answer
    x = 13,735.93

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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.