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Finding the Fourth Proportional to 82,442.64, 113,787.84 and 46,634.16

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Solution

The fourth proportional to 82,442.64, 113,787.84 and 46,634.16 is: 64,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,442.64 : 113,787.84 = 46,634.16 : x
  2. Step 2: Convert to fraction form
    82,442.64/113,787.84 = 46,634.16/x
  3. Step 3: Cross multiply
    82,442.64x = 113,787.84 × 46,634.16
  4. Step 4: Simplify right side
    82,442.64x = 5,306,400,336.61
  5. Step 5: Solve for x
    x = 5,306,400,336.61/82,442.64
  6. Step 6: Final answer
    x = 64,364.76

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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.