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Finding the Fourth Proportional to 53,082.99, 79,622.76 and 13,102.20

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Solution

The fourth proportional to 53,082.99, 79,622.76 and 13,102.20 is: 19,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.99 : 79,622.76 = 13,102.20 : x
  2. Step 2: Convert to fraction form
    53,082.99/79,622.76 = 13,102.20/x
  3. Step 3: Cross multiply
    53,082.99x = 79,622.76 × 13,102.20
  4. Step 4: Simplify right side
    53,082.99x = 1,043,233,326.07
  5. Step 5: Solve for x
    x = 1,043,233,326.07/53,082.99
  6. Step 6: Final answer
    x = 19,652.87

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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.