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Finding the Fourth Proportional to 48,082.80, 72,127.80 and 13,021.92

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Solution

The fourth proportional to 48,082.80, 72,127.80 and 13,021.92 is: 19,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082.80 : 72,127.80 = 13,021.92 : x
  2. Step 2: Convert to fraction form
    48,082.80/72,127.80 = 13,021.92/x
  3. Step 3: Cross multiply
    48,082.80x = 72,127.80 × 13,021.92
  4. Step 4: Simplify right side
    48,082.80x = 939,242,441.38
  5. Step 5: Solve for x
    x = 939,242,441.38/48,082.80
  6. Step 6: Final answer
    x = 19,533.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.