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Finding the Fourth Proportional to 82,950.32, 114,471.96 and 45,225.20

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Solution

The fourth proportional to 82,950.32, 114,471.96 and 45,225.20 is: 62,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.32 : 114,471.96 = 45,225.20 : x
  2. Step 2: Convert to fraction form
    82,950.32/114,471.96 = 45,225.20/x
  3. Step 3: Cross multiply
    82,950.32x = 114,471.96 × 45,225.20
  4. Step 4: Simplify right side
    82,950.32x = 5,177,017,285.39
  5. Step 5: Solve for x
    x = 5,177,017,285.39/82,950.32
  6. Step 6: Final answer
    x = 62,411.06

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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.