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Finding the Fourth Proportional to 82,320, 123,322.20 and 48,939

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Solution

The fourth proportional to 82,320, 123,322.20 and 48,939 is: 73,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320 : 123,322.20 = 48,939 : x
  2. Step 2: Convert to fraction form
    82,320/123,322.20 = 48,939/x
  3. Step 3: Cross multiply
    82,320x = 123,322.20 × 48,939
  4. Step 4: Simplify right side
    82,320x = 6,035,265,145.80
  5. Step 5: Solve for x
    x = 6,035,265,145.80/82,320
  6. Step 6: Final answer
    x = 73,314.69

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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.