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Finding the Fourth Proportional to 82,954.32, 114,477.48 and 45,229.20

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Solution

The fourth proportional to 82,954.32, 114,477.48 and 45,229.20 is: 62,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.32 : 114,477.48 = 45,229.20 : x
  2. Step 2: Convert to fraction form
    82,954.32/114,477.48 = 45,229.20/x
  3. Step 3: Cross multiply
    82,954.32x = 114,477.48 × 45,229.20
  4. Step 4: Simplify right side
    82,954.32x = 5,177,724,838.42
  5. Step 5: Solve for x
    x = 5,177,724,838.42/82,954.32
  6. Step 6: Final answer
    x = 62,416.58

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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.