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Finding the Fourth Proportional to 48,082.40, 72,123.62 and 13,022.08

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Solution

The fourth proportional to 48,082.40, 72,123.62 and 13,022.08 is: 19,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082.40 : 72,123.62 = 13,022.08 : x
  2. Step 2: Convert to fraction form
    48,082.40/72,123.62 = 13,022.08/x
  3. Step 3: Cross multiply
    48,082.40x = 72,123.62 × 13,022.08
  4. Step 4: Simplify right side
    48,082.40x = 939,199,549.53
  5. Step 5: Solve for x
    x = 939,199,549.53/48,082.40
  6. Step 6: Final answer
    x = 19,533.13

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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.