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Finding the Fourth Proportional to 82,153.08, 113,400.30 and 48,619

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Solution

The fourth proportional to 82,153.08, 113,400.30 and 48,619 is: 67,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,153.08 : 113,400.30 = 48,619 : x
  2. Step 2: Convert to fraction form
    82,153.08/113,400.30 = 48,619/x
  3. Step 3: Cross multiply
    82,153.08x = 113,400.30 × 48,619
  4. Step 4: Simplify right side
    82,153.08x = 5,513,409,185.70
  5. Step 5: Solve for x
    x = 5,513,409,185.70/82,153.08
  6. Step 6: Final answer
    x = 67,111.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.