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Finding the Fourth Proportional to 48,642.19, 72,977.38 and 20,173.84

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Solution

The fourth proportional to 48,642.19, 72,977.38 and 20,173.84 is: 30,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.19 : 72,977.38 = 20,173.84 : x
  2. Step 2: Convert to fraction form
    48,642.19/72,977.38 = 20,173.84/x
  3. Step 3: Cross multiply
    48,642.19x = 72,977.38 × 20,173.84
  4. Step 4: Simplify right side
    48,642.19x = 1,472,233,754.86
  5. Step 5: Solve for x
    x = 1,472,233,754.86/48,642.19
  6. Step 6: Final answer
    x = 30,266.60

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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.