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Finding the Fourth Proportional to 32,082.44, 48,130.94 and 14,557.28

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Solution

The fourth proportional to 32,082.44, 48,130.94 and 14,557.28 is: 21,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.44 : 48,130.94 = 14,557.28 : x
  2. Step 2: Convert to fraction form
    32,082.44/48,130.94 = 14,557.28/x
  3. Step 3: Cross multiply
    32,082.44x = 48,130.94 × 14,557.28
  4. Step 4: Simplify right side
    32,082.44x = 700,655,570.24
  5. Step 5: Solve for x
    x = 700,655,570.24/32,082.44
  6. Step 6: Final answer
    x = 21,839.22

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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.