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Finding the Fourth Proportional to 82,477.72, 113,812.32 and 48,487.32

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Solution

The fourth proportional to 82,477.72, 113,812.32 and 48,487.32 is: 66,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477.72 : 113,812.32 = 48,487.32 : x
  2. Step 2: Convert to fraction form
    82,477.72/113,812.32 = 48,487.32/x
  3. Step 3: Cross multiply
    82,477.72x = 113,812.32 × 48,487.32
  4. Step 4: Simplify right side
    82,477.72x = 5,518,454,379.78
  5. Step 5: Solve for x
    x = 5,518,454,379.78/82,477.72
  6. Step 6: Final answer
    x = 66,908.43

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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.