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Finding the Fourth Proportional to 82,456.64, 113,787.12 and 44,730.08

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Solution

The fourth proportional to 82,456.64, 113,787.12 and 44,730.08 is: 61,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456.64 : 113,787.12 = 44,730.08 : x
  2. Step 2: Convert to fraction form
    82,456.64/113,787.12 = 44,730.08/x
  3. Step 3: Cross multiply
    82,456.64x = 113,787.12 × 44,730.08
  4. Step 4: Simplify right side
    82,456.64x = 5,089,706,980.57
  5. Step 5: Solve for x
    x = 5,089,706,980.57/82,456.64
  6. Step 6: Final answer
    x = 61,725.86

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Why These Related Problems?

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